5. Consider the matrix 1 3 5 A = 18 18 18 5 3 1 Is A invertible? Justify your answer.

Q: Find the transpose of matrix A A = 4 0 -6 3 -8 1

A: Matrix transpose

Q: Use the Invertible Matrix Theorem to decide if A is invertible

A:

Q: 13.) Determine the matrix: s P 6-8 3 ។ -3 the dimension X 10

A:

Q: Find the Inverse of Matrix A 6) -3 20 11 A = -6 15 32 3 -12 -19 A = %3D

A: Given A=-32011-615323-12-19

Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

A:

Q: The matrix is invertible. True False A = [117 0 0 17 - 23 0 -13] -2 -3

A:

Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: For this exercise assume that the matrices are all nxn. The statement in this exercise is an…

A: Given that if the equation Ax=0 has only the trivial solution then A is row equivalent to the n×n…

Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

A:

Q: 7. Derive and verify a Cayley-Hamilton formula for the inverse of an invertible 5 × 5 matrix

A:

Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…

Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 not diagonalizable 60 0 -1 1 1 0-9 0 = 0 1…

A: Solution:-

Q: Find a square root of the matrix 13 0 18 A = -5 0 -6 - -6 -8 In other words, find a matrix B such…

A:

Q: Find the transpose of the following: In all of the matrix calculations below, you must show your…

A:

Q: Let -1 2 -8 A = 1 0 0 1 Is A diagonalizable? If yes, find the matrix P that diagonalize A. Further,…

A: The given matrix is  A=-12-8010001