Problem 7. Suppose that A is an invertible n x n matrix. Determine if the partitioned [In (block) 2n x 2n matrix B = is invertible. If B is invertible, find B-¹. (a) B is not invertible (b) B−¹. (c) B-¹ = (d) B-¹ A In - In -A In A 0 In (e) None of the above In A In

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Q: 3. Let A = 3-1 1 V₁ = 3 -2 2 = 2 V₂ = 3 V3 = 6 V4 and use the facts Av₁ = V₁ AV₂ = V₂ AV3 = V3 V4 €…

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Q: If A is an invertible matrix and (E-F)A=0. TS matrices E= F ? Justify your answer.

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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

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Q: (4) Remember that the definition of symmetric is AT = A, skew-symmetric is AT = -A, and orthogonal…

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