Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

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Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

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Q: Consider the following matrix and vector: 1 1 A = 1 -4 0 -3 -2 and x = 6

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Q: Express the following matrix as a product of several elemen- tary matrices. 1 3 E 2 3 ||

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Q: 4. Prove that det (A) = det (A¹) for a 2 × 2 matrix.

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Q: 4. Decide if there is a three by three matrix A such that A. 1 for all æ, y, z in R.

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Q: Find a 3 x 1 matrix x with entries not all zero such that 1 2 -1 Ax = 1x, where A 1 1 -4

A: A=1  2-11  0  14-4  5 Now let x=abc be the required matrix. Now consider, Ax=1x⇒1  2-11  0  14-4…

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Q: 2. Assuming that all matrices are nxn and invertible, solve for D. CTB-A'BACDA²²B™C-2 = CT

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Q: • The Matrix B from 3 × 2 at bj = 1 - is го 1. 2 2. 7 3. -1 4. 1 1 -2 2 3 4

A: concept of matrix  bij=1-i/j , the entries of matrix B is b11,b12,b21,b22,b31,b32

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Q: independent

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Q: Consider the following matrix and vector: 1 1 A =|-2 0 -3 1 1 -4 and x = X2 6. x3 Given that Ax=0…

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