Evaluate double Integral of xy dy dx over the limits y=(x, sqrt(x)) and x=(0,1)

Evaluate Double Integral of xy dy dx over the limits y=(x, sqrt(x)) and x=(0,1) Question Question Evaluate Double Integral of xy dy dx over the limits y=(x, sqrt(x)) and x=(0,1) Double Integral Problems Evaluate double Integral of xy dy dx over the limits y=(x, sqrt(x)) and x=(0,1) Evaluate double Integral of (x^2 +y^2) dy dx over the limits y=(x, sqrt(x)) and x=(0,1) Evaluate the double integral of xy dy dx over the limits for y= (x^2 to 2-x) and x=(0…

Verify the transformation y_1=19 x_1-9x_2+2x_3; y_2=-4x_1+2x_2-x_3;y_3=-2x_1+x_2 is regular or not and find the Inverse transformation if possible

Verify the transformation y_1=19 x_1-9x_2+2x_3; y_2=-4x_1+2x_2-x_3;y_3=-2x_1+x_2 is regular or not and find the Inverse transformation if possible Question Question Verify the transformation y_1=19 x_1-9x_2+2x_3; y_2=-4x_1+2x_2-x_3;y_3=-2x_1+x_2 is regular or not and find the Inverse transformation if possible Topic Linear Transformation Linear Transformation Problems Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation. Show that…

Show that the transformation y_1=2x+y+z ; y_2=x+y+2z; y_3=x-2z is regular. Write down the inverse transformation

Show that the transformation y_1=2x+y+z ; y_2=x+y+2z; y_3=x-2z is regular. Write down the inverse transformation Question Question Show that the transformation y_1=2x+y+z ; y_2=x+y+2z; y_3=x-2z is regular. Write down the inverse transformation Topic Linear Transformation Linear Transformation Problems Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation. Show that the transformation y_1=2x+y+z ;…

Show that the transformation y_1=2x-2y-z ; y_2= – 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation.

Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation. Question Question Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation. Topic Linear Transformation Linear Transformation Problems Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the…

Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation

Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Question Question Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Topic Linear Transformation Linear Transformation Problems Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation. Show that…

Linear Transformation

Linear Transformation Consider a 3 dimension system. Linear transformation in 3D along with its matrix form is given by Note: If Y=AX and Z=BY,then Z=(BA) X=Composite Linear Transformation. Topic Linear Transformation Linear Transformation Problems Show that the transformation y_1=x_1+2x_2+5x_3 ; y_2=2x_1+4x_2+11x_3 ; y_3= -2x_2+2x_3 is regular. Write down the inverse transformation Show that the transformation y_1=2x-2y-z ; y_2= - 4x+5y+3z ; y_3=x-y-z is regular and find out the Inverse transformation. Show that the transformation y_1=2x+y+z ; y_2=x+y+2z; y_3=x-2z is regular.…

Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form

Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form Question Question Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form Topic Orthogonal Transformation Problems Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation. Also indicate the nature, index, rank and signature of the quadratic form Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form  

Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation

Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation. Question Question Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation. Also indicate the nature, index, rank and signature of the quadratic form Topic Orthogonal Transformation Problems Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form  

Orthogonal Transformation

Reducing Quadratic form to Canonical form by Orthogonal transformation Topic Orthogonal Transformation Problems Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation. Also indicate the nature, index, rank and signature of the quadratic form Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form  

Using Rayleigh’ s power method find numerically the largest Eigen value and corresponding Eigen vector of the matrix, A=[(25,1,2,),(1,3,0),(2,0,-4)]

Using Rayleigh' s power method find numerically the largest Eigen value and corresponding Eigen vector of the matrix, A=[(25,1,2,),(1,3,0),(2,0,-4)] Question Question Using Rayleigh' s power method find numerically the largest Eigen value and corresponding Eigen vector of the matrix, A=[(25,1,2,),(1,3,0),(2,0,-4)] Topic Rayleigh's Power Method Rayleigh's Power Method Problems Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)] Find the dominant Eigen value and the corresponding Eigen vector of…

Find the numerically largest Eigen value and the corresponding Eigen vector of matrix A = [(4,1,-1),(2,3,-1),(-2,1,5)] by taking the initial approximation to the Eigen vector as [1, 0.8,-0.8] ^T. Perform 5 iterations

Find the numerically largest Eigen value and the corresponding Eigen vector of matrix A = [(4,1,-1),(2,3,-1),(-2,1,5)] by taking the initial approximation to the Eigen vector as [1, 0.8,-0.8] ^T. Perform 5 iterations Question Question Find the numerically largest Eigen value and the corresponding Eigen vector of matrix A = [(4,1,-1),(2,3,-1),(-2,1,5)] by taking the initial approximation to the Eigen vector as [1, 0.8,-0.8] ^T. Perform 5 iterations Topic Rayleigh's Power Method Rayleigh's Power Method Problems Find the largest Eigen value and…

Find the largest Eigen value and the corresponding Eigen vector of the matrix A=[(2,-1,0),(-1,2,-1),(0,-1,2) by using power by method taking the initial vector as [1, 1, 1] ^T

Find the largest Eigen value and the corresponding Eigen vector of the matrix A=[(2,-1,0),(-1,2,-1),(0,-1,2) by using power by method taking the initial vector as [1, 1, 1]^T Question Question Find the largest Eigen value and the corresponding Eigen vector of the matrix A=[(2,-1,0),(-1,2,-1),(0,-1,2) by using power by method taking the initial vector as [1, 1, 1]^T Topic Rayleigh's Power Method Rayleigh's Power Method Problems Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power…

Find the dominant Eigen value and the corresponding Eigen vector of the matrix A=[(6,-2,2),((-2,3,-1),(2,-1,3)] by power method taking the initial Eigen vector as [1,1,1]

Find the dominant Eigen value and the corresponding Eigen vector of the matrix A=[(6,-2,2),((-2,3,-1),(2,-1,3)] by power method taking the initial Eigen vector as [1,1,1] Question Question Find the dominant Eigen value and the corresponding Eigen vector of the matrix A=[(6,-2,2),((-2,3,-1),(2,-1,3)] by power method taking the initial Eigen vector as [1,1,1] Topic Rayleigh's Power Method Rayleigh's Power Method Problems Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)] Find…

Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)]

Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)] Question Question Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)] Topic Rayleigh's Power Method Rayleigh's Power Method Problems Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)] Find the dominant Eigen value and the…

Rayleigh’s Power Method

Rayleigh's Power Method Rayleigh's power method is an iterative method to determine the numerically largest eigen value (dominant eigen value) and the corresponding eigen vector of a square matrix. Steps for solving problems Topic Rayleigh's Power Method Rayleigh's Power Method Problems Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)] Find the dominant Eigen value and the corresponding Eigen vector of the matrix A=[(6,-2,2),((-2,3,-1),(2,-1,3)] by power method taking…

Diagonalize the matrix [(1,1),(3,-1)]

Diagonalize the matrix [(1,1),(3,-1)] Question Question Diagonalize the matrix [(1,1),(3,-1)] Topic Diagonalisation of a Square Matrix Related Problems Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Diagonalize the matrix [(-19,7),(-42,16)] Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Diagonalize the matrix [(1,1),(3,-1)]

Reduce the matrix A=[(5,4),(1,2)] into the diagonal form

Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Question Question Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Topic Diagonalisation of a Square Matrix Related Problems Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Diagonalize the matrix [(-19,7),(-42,16)] Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Diagonalize the matrix [(1,1),(3,-1)]

Diagonalize the matrix [(-19,7),(-42,16)]

Diagonalize the matrix [(-19,7),(-42,16)] Question Question Diagonalize the matrix [(-19,7),(-42,16)] Topic Diagonalisation of a Square Matrix Related Problems Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Diagonalize the matrix [(-19,7),(-42,16)] Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Diagonalize the matrix [(1,1),(3,-1)]

Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form

Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Question Question Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Topic Diagonalisation of a Square Matrix Related Problems Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Diagonalize the matrix [(-19,7),(-42,16)] Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Diagonalize the matrix [(1,1),(3,-1)]

Diagonalisation of a Square Matrix

Diagonalisation of a Square Matrix   Topic Diagonalisation of a Square Matrix Related Problems Reduce the matrix A=[(-1,3),(-2,4)] to the diagonal form Diagonalize the matrix [(-19,7),(-42,16)] Reduce the matrix A=[(5,4),(1,2)] into the diagonal form Diagonalize the matrix [(1,1),(3,-1)]