is represented in the standard bases by the matrix:

Q: c) d) e) - 3 2 7 2 5 5 1 。 4 6 - 4 - 5 6 7 1 -j 2 2 j3 0 - 3 1 3 4 j41 + j j6 - 1 j3

A: We have to find the transpose of the matrix.

Q: Diagonalize the following matrices a) (0 0 1 2 -2 A : 1 1 0 3 b) 3 2 A -2 -2 -2 1 2 2

A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

A:

Q: +2x2 +2x3 +3x5 +3x6 0. -4x6 -x4 +2x5 -7x5 -7 *1 +2x2 +7x6

A:

Q: Find the change-of-coordinates matrix from Bto the standard basis in Rn.

A:

Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: Find the inverse of the matrix:                    3 3 4                    2 3 2…

A:

Q: ) Write the following matrix as a product of elementary matrices: H 1 1 0 02 -3 1

A:

Q: Given two nxn matrices A and B, what are the criteria for the matrices to be inverses?

A: Given the matrices A and B of order nxn.

Q: In P2, find the change-of-coordinates matrix from the basis B = {1+ 3t², -3 +t-8t²,1 - 4t) to the…

A:

Q: a: Diagonalize the following matrix, if possible [4 1 3] 3 8 7 12 7 51

A:

Q: State the next elementary row operation that should be performed in order to put the matrix into…

A:

Q: Q1: Answer the following matrices: 1 2 3 456 789, . [.. + 3 2 1 654 9 8 7, b)

A:

Q: Find the matrix product AB. 30 [:]. A = 13-1 = 134], B =

A: