B determine if the vector 1 2 3 4 is in span3 1 1

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Unformatted text preview: ndent. b) Determine if the vector [1, 2, 3, 4] is in span{[3, 1, −1, 0], [10, 12, 5, 13]} 2) If 4 −1 0 1 −5 3 0 1 4 −2 A = 2 0 −1 1 and B = 3 −6 4 , 7 −1 1 −2 −1 0 −2 find AAT , AT A, AB, and BA 3) If find A2 , A3 , and A4 . 0 0 A= 0 0 2 0 0 0 1 1 0 0 0 3 , 4 0 4) Use Gauss-Jordan elimination to determine whether each of the following matrices is invertible. If it is invertible, find its inverse: 1 −2 3 10 3 a) 4 −5 8 ; b) 2 1 −1 2 −1 2 23 3 1 Written Assignment # 3 - ANSWERS 1) a) The vectors...
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