Opposite (additive inverse) matrix (mj), m11 = m12 = m13 = m21 = m22 m23 = m31 = m32 = m33 = ||

Q: Find the inverse matrix of: 1 2 3 2 3 4 3 4 1

A: The given matrix

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

A: Matrix transpose

Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

A: The product of matrices is given as follows

Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

A:

Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

A: Elementary square matrix :- A square matrix of order n is said to be an elementary square matrix if…

Q: Evaluate det (A) for the matrix A=($ 2).

A: Given matrix is A=8254 The task is to find the inverse of the given matrix.

Q: 2 1 }], 3

A: LetWe have to find the inverse of the above matrix.We know that

Q: How do you find the inverse of this matrix?

A: We first find the determinant of the matrix to check if the matrix is invertible or not.

Q: 9. A = -2 2

A:

Q: Let A and B be similar matrices Show that if A? = A then B = B.

A: Two matrices C and D are said to be similar matrices if there exists a non-singular matrix P such…

Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: the matrix A = and explain why or why not this matrix is diagonalizable

A: In the given question, concept of diagonalizable matrix is applied. Diagonalizable Matrix Any square…

Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

A:

Q: (A" – 21) * - | ) 3. Determine the matrix A if

A:

Q: How to make this matrix diagonally dominant?

A:

Q: If A + 0 and B+ 0 are square matrices of the same order, then AB + 0.

A:

Q: Find all values of a such that A3 = 2A, where   (see image of matrix)

A: Consider the given matrix,

Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

A: