In Exercises 11 and 12, use an inverse matrix to find [x] for the given x and B 11. 3 -4 = = {[³] [4]} -5 6 2 X = 2 -6

Q: Let A = [ 9-8 4-3 Find an invertible matrix X such that X-¹AX is diagonal.

A: Introduction: A matrix A of dimension n x n is called invertible if and only if there exists…

Q: Element (1,2) of the inverse of the matrix is

A: Solution: The objective is to find the element (1,2) of the inverse of the matrix

Q: 3. Let A, B € Mnxn (F) be n x n matrices. (a) Prove that tr(A + B) = tr(A) + tr(B). (b) Prove that…

A: Trace of matrices is sum of its  diagonal entries

Q: Compute the inverse of the following matrix 1 -3 5 10 4 7 0 6 -8

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Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: Q4. Determine and verify the inverse of the following matrix A=1 3 2 I 2 5

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Q: For each 2 x 2 real matrix A find the canonical form B and an invertible matrix P such that P-1AP =…

A:

Q: Find the inverse of the matrix 2 2 2 -3 -3 !

A: Given  A = 122112-3-31