-1 1 1 -2. -2 8. -8

Q: Diagonalize the matrix A 2 -2 if possible. 2 -3

A:

Q: Matrix Invorse civen : A-1 23 -76 B-1 = and Find : A?

A:

Q: Find the rank of the matrix 2. 1. 4 -2 3 3 -7 3.

A:

Q: What do we mean by the transpose of a matrix?

A: Matrix is a set of number which are arranged in form of rows and columns. They have elements in them…

Q: Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

A: Given the given matrix is A=57-504-128-3

Q: Find the inverse of the matrix using elementary row operations.

A: In order to use elementary row operations, we may write A=IA After that we will convert matrix A on…

Q: Write the matrix equation as a system of linear equations without matrices.

A: Given2     0     -10     3      01     1      0xyz=695

Q: Perform the matrix operations.

A: Consider as

Q: Q3. Diagonalise the matrix [A]. - 5 -6 6. [A]= -9 -8 12 -12 -12 16

A: To diagonalize a matrix. The following steps are to be followed. To find the characteristic…

Q: Solve the matrix equation -[ 4 6. 3 4 -3 | 3 5 5 7 1 -

A:

Q: Calculate the two matrix products R1A-1, R2A-1.

A:

Q: be 2-by-2 matrix, with a =7, b =11, c =

A: Determinant of M = 6

Q: How do you write a matrix equation?

A:

Q: Matrix A is 2 x 7 and matrix B is 2

A: Given, Matrix A is 2 x 7 and matrix B is 2 x 8.

Q: product of a matrix and its inverse is

A: Matrix: Let A be a matrix  B is the inverse of the matrix. A=B-1 AB=I

Q: Find the negative of matrix. A] = { 0. [A %3D -3 8

A: Given that, the matrix is A=2045-38. Note that, the negative of the matrix A is -A.

Q: Find the inverse of the matrix (if it exists).

A: Now determinant value is,

Q: Diagonalize the following matrix. -5 – 12] 6 12 %3D D = P-1 = 00

A: Matrix  -5-12612

Q: Consider matrix A. -3 5 2 A = 8 -1 3 What matrix results from -8·A?

A:

Q: Illustrate the Skew-symmetric matrix ?

A:

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

A:

Q: I multiplied an m * n matrix and an n * p matrix by multiplying corresponding elements. Determine…

A: Query- I multiplied an m * n matrix and an n * p matrix by multiplying corresponding elements.…

Q: 1 -2 Diagonalize the matrix B 3 -4 ||

A:

Q: Find the adjoint of the matrix.

A: Consider the given matrix as

Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.

A:

Q: -1 1 X =|1 7 2. 3. 4,

A: Given:   3-12 4-11 130X =397 1117 757

Q: Write the augmented matrix for the system of equations to the right. x - y + 4z = 7 y - 12z = - 8…

A:

Q: Write (a) the row vectors and (b) the column vectors of the matrix.

A:

Q: Explain m x n matrix?

A:

Q: Determine if the columns of the matrix span `R^{4}`. Give your arguments.

A:

Q: Explain why the matrix is not diagonalizable.

A:

Q: Construct a 4x4 matrix to rotate 60° about the z-axis and rotate 30° about the x-axis and then…

A: Here we need to find out the 4x4 matrix to rotate 60 degrees to z axis and 30 degrees to x axis also…

Q: Find the adjoint of the matrix.

A:

Q: State the dimension of the matrix.

A: The dimension of a matrix is the number of rows by the number of columns. For example is a matrix A…

Q: Explain why the matrix is not diagonalizable.

A:

Q: Transpose the matrix -2 -1 2 2 -1

A: The given matrix is:312-2-1002-1To find the transpose.

Q: Diagonalize the matrix -5 -2 A = 3 [ by writing it as A = PDP-1

A:

Q: Consider the matrix

A: Given, the matrix                    A=1-101-1121-141-10-112-2042-282-2

Q: Explain how The Matrix Form of the Equations.

A:

Q: Diagonalize the matrix if possible [ 0 1 1 2 1 2 3 3 2 ].

A:

Q: Diagonalize the following matrix -1 2 -2 A = 1 -1 -1 0

A:

Q: Find values for the variables so that the matrices are equal.

A: we have to find the value of the variables so that the matrices are equal. x7=11y

Q: Give an example of a 3× 3 diagonal matrix.

A:

Q: -x+2y-2z 5 3x-3y+5z = -6 -2x+3y-4z 6 Write the augmented matrix:

A:

Q: (0 8 1 1 4 -1

A:

Q: Write the augmented matrix as a system of equations 1 0 2 350 0 1 -2 250 [1 3 3 100 | y + y +

A:

Q: State the dimension of the matrix.

A:

Q: (d) Find the coordinate matrix [x]g, given the coordinate matrix [x]g•. [x]B =

A:

Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

A:

Q: matrix is not easy to do with just row operations, because the

A: