Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. det A¹ = (-1)det A Choose the correct answer below. -1 A. The statement is false. det A¹ = (det A)¹ B. The statement is true. det A¹ is the opposite of det A. C. The statement is false. det A¹ = det A D. -1 The statement is true. A is formed from an odd number of row or columns switches.

Q: mark each statement True or False (T/F). Justify each answer.6. (T/F) The echelon form of a matrix…

A: It is a false statement that the echelon form of a matrix is not unique.

Q: Perform the matrix operations.

A: Consider the given matrices as where matrix A is and matrix B is

Q: Find the determinant of the matrix.

A:

Q: 6. Find a matrix X such that the equation AX = B holds, where A = 4 and 3. В - 1 8

A: see below the answer

Q: Find the inverse of the given matrix, if it exists. M= 2 -7 7 - 24 Select the correct choice below…

A: M=2-77-24 We have to find the inverse of the matrix.

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: Given A = 6 7 3 10 6 10 3 14 6 10 1 10 [228] 20 ] and B = [93] -1 6 find 2A + B.

A:

Q: Given A and B = 6 2 -2 -1 find AB.

A:

Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

A:

Q: Find the determinant of the matrix.

A: