# Previous answers holtlinalg1 32007 find the missing

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3. 1/1 points | Previous Answers HoltLinAlg1 3.2.007. Find the missing values in the given matrix equation. = 2 a 4 −2 b −4 −1 2 3 −10 6 ( a , b , c ) = c 2 a 8 8
4. 1/1 points | Previous Answers HoltLinAlg1 3.2.010. Find the missing values in the given matrix equation. = 1 a 0 −2 9 b 3 c d −2 1 2 −3 3 7 e −2 −4 f −4 1 ( a , b , c , d , e , f ) = = d 9 d ) + d = 7 − 2 b = f 35
5. 4/4 points | Previous Answers HoltLinAlg1 3.2.013. 1 = x 1 2 3 x 1 + 5 x −2 x 1 + 7 x T 2 = . x 1 2 −2 x 1 + 9 x Let T 1 and T 2 be linear transformations given by T 1 = x 1 2 3 x 1 + 5 x −2 x 1 + 7 x T 2 = . x 1 2 −2 x 1 + 9 x x 2 2 x 2 5 x 2
2015 3 17 UW Common Math 308 Section 3.2 4/9 Find the matrix A such that the following is true. (a) -6 52 4 17 [-6,52; 4, 17] (b) -24 53 -10 35 [-24, 53; -10, 35] (c) -1 50 -20 39 [-1, 50; -20, 39] (d) 4 27 0 25 [4, 27; 0, 25] Solution or Explanation We first determine that and (a) So (b) So (c) So (d) So T 1 ( T 2 ( x )) = A x A = T 2 ( T 1 ( x )) = A x A = T 1 ( T 1 ( x )) = A x A = T 2 ( T 2 ( x )) = A x A = T 1 ( x ) = A 1 x = 3 5 −2 7 T 2 ( x ) = A 2 x = . −2 9 0 5 T 1 ( T 2 ( x )) = T 1 ( A 2 x ) = A 1 ( A 2 x ) = ( A 1 A 2 ) x . A = A 1 A 2 = = . 3 5 −2 7 −2 9 0 5 −6 52 4 17 T 2 ( T 1 ( x )) = T 2 ( A 1 x ) = A 2 ( A 1 x ) = ( A 2 A 1 ) x . A = A 2 A 1 = = . −2 9 0 5 3 5 −2 7 −24 53 −10 35 T 1 ( T 1 ( x )) = T 1 ( A 1 x ) = A 1 ( A 1 x ) = ( A 1 A 1 ) x . A = A 1 A 1 = = . 3 5 −2 7 3 5 −2 7 −1 50 −20 39 T 2 ( T 2 ( x )) = T 2 ( A 2 x ) = A 2 ( A 2 x ) = ( A 2 A 2 ) x .
2015 3 17 UW Common Math 308 Section 3.2 5/9