Consider the following augmented matrix of an SLE in 3 variables. а 0ь 2 а 4 4 0а 2 Ь a Determine values of a and b such that the SLE has (i) a unique solution, (ii) a one- parameter solution (one free variable), (iii) a two-parameter solution, (iv) is inconsistent.

Q: use some form of technology to show that the given matrix is nondefective

A: Given : A=ababababa To Show : A is non-defective.

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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A: Let us define the function as, A¯=BTAB Then, A¯T=BTABT=BATBT=BABT   [A is symmetric]

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A: NOTE: Refresh your page if you can't see any equations. . the given matrix is

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Q: 5. Diagonalize the following matrix. 3 B =-3 4 9 0 0 3/

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Q: 3. Can a square matrix with two identical rows be invertible? Why or why not?

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A: Solution

Q: (a) Find the matrix A so that AB=C, where а, а, а, B= b, b, b, & C= b, b, b, a, az az (2 rows are…

A: Given B=a1a2a3b1b2b3c1c2c3 now using row operation R1↔R3 ~c1c2c3b1b2b3a1a2a3

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Q: Please don't provide handwritten solution ...

A: Please comment down for any doubt. I hope my answer helps you.

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Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts