In each of Problems 13 through 15, find all values of
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- .For the following matrix 1 -31 [2 3 A 2 -- and 1 B = [²³₁] L6 L4 0 3 - -1 c = [³₁ -1 1 61 (A.B) + 2CT Then: Warrow_forwardFor this section the following two definitions will be relevant for an n x n matrix A. • A is positive iff for all x, xH Ax is real and non-negative. • A is positive-definite iff A is positive and x# Ah = 0 iff x = 0. Problem 1. Use the Spectral Theorem to show that • A is positive and Hermitian iff A = BHB for some matrix B. • A is positive definite and Hermitian iff A BHB for some B with NS(B) = {0}. In some sense B is the correct notion of the square-root of A.arrow_forwardHELP WITH 18 AND 19 In each of Problems 12–23, find AR and produce a matrix 2r such that QRA = AR. -1 4 2 3 -5 7 1 18. A = 1 -3 4 4 19. A = 0 0 0arrow_forward
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- Please help me with the Linear Algebra Question:arrow_forwardPlease answer number 3. Find the inverse of the following matrices using Adjoint Matrix Methodarrow_forwardSuppose that the first and last columns of a 3 x 6 matrix are the same (not zeros). Then O a. 1 0. is a special solution is a special solution is a special solution d. 2 is a special solution 28 / 30 ... 900 1.arrow_forward
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