Find a 3 x 3 matrix A with the following property: if T(x) = Ax, then the range of T is the xy-plane. 1 -2 4 A = -3 -12

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Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: c. Find an orthogonal diagonalization of the symmetric matrix 1 -2 0 A = -2 1 4

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Q: -1 -1 | | 4. For the semidefinite matrix A = -1 2 -1 write x' Ax as a -1 -1 sum of two squares.

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Q: A. For any matrix A, give a simpler name for the matrix (At)t. B. Is it true or false that (2A)t =…

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Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

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Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

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A: Consider the matrix, A=53-73-5275-3,   b=0-816 To solve the given solution: Ax=bx=A-1b…

Q: = 1 -2 2 00 0 -1 0 0 -1

A: Given that A=

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Q: Given 2. A and B = ( 4 Find the matrix represented by: (iii) 3(A – 4B) (iv) B+ 3AT

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Q: Let A be a 3x6 matrix of rank 3 then nullity of A equal 0 Select one: O True O False

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Q: 2. The following matrices correspond to the augmented matrix of a linear system of equations. GIve…

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