4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is undefined, HG is 1 x 1. 1 1 1] 5. What is the inverse of I = 2 1 1? 2 2 3 1 1 1 A. I' does not exist. C. % 1 1/ 1 1/ -1 -1 1 -1 1 В. | -2 -1 -1 D. 4 -1 - |- 2 -2 - 3 - 2 1 3 -7 4 6. Compute for the determinant of J = |0 9. -1 А. -81 В. -45 С. -18 D. 18

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A:

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

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Q: (b).Use the matrices а A d and 5 3 В 4 7 to illustrate Det AB Det BA det A. det B.

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Q: Which do you find easier? 3 1 (₁ - ( ) -- (3) (a) A = B = -1 1 1₁- (b) A = ()--(²3) B = -2 15 2 2-2

A:

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A: