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4.

In each row below, one form of a system is shown. Rewrite each system in the missing forms. Do NOT solve. Linear system Matrix form Vector (linear combination) form 2 WN (1) 1 N X 2 (2)Perform the matrix operations. (DO NOT use calculator) 1 0 012 3 17 1 0 07 (a) 01 0 10 3 5 010 = Lo 1 7 9 2 0 0 1. 2 -31 ( b ) 1 [1 -1 0] = [2 -4 1] 2 3 1 -27 3 17 (c) A= -1 0 3 B= 2 -1 (AB) = 0 -2 1. 3 L 17 (d) x = 0 3 X . ) =Given X1 + x2 = 12x1 + 3x2 = (a) Solve the system using inverse matrix. (DO NOT use calculator) (b) Based on your result from part (a), express } as a linear combination of [}] & - (c) Based on your result from part (a), determine if matrix A = 5 -1 -21 is singular or nonsingular. The matrix A = 2 3] is (d) Based on your result from part (a), determine if the set of vectors (12] . [31) is linearly dependent or independent. The set