Question: 1. Write clown the elementary row operation that corresponds to each of the following elementary matrices: (10 points) 100 001 100 (a) 010 (b) 0

1. Write clown the elementary row operation that corresponds to each of the following elementary matrices: (10 points) 100 001 100 (a) 010 (b) 0 10 (c) 0 2 (l 041 100 001 2. Which of the following statements about the matrix inverse are true? (10 points) (a. All square matrices with ones on the main diagonal are non-singular. (b If a matrix A is invertible. then A3 is also invertible. ) (c) Any matrix that has a column of all zeros must not be invertible. ((1) A nonsquare matrix may have an inverse. {0 An upper triangular matrix can not be invertible if there is a zero on the diagonal. 3. Consider the matrices: a; U) H ow HO 1 0 P: 0 0 i) 1 0 (l( MII A: (,0 men COOS-4 a; IIDD Find PAS and SAP. (2(] points)

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