Consider the matrix E =1 -3 0 and an arbitrary 3 x 3 matrix 1 a ^ ** A and EA, in terms
Chapter 2, Problem 82(choose chapter or problem)
Consider the matrix E =1 -3 0 and an arbitrary 3 x 3 matrix 1 a ^ ** A and EA, in terms of the technique of elimination we learned in Section 1.2. k Consider the matrixE =0 i 4 0and an arbitrary 3 x 3 matrix Compute EA. Comment on the relationship between A and EA. c. Can you think of a 3 x 3 matrix E such that EA is obtained from A by swapping the last two rows (for any 3 x 3 matrix A)? d. The matrices of the forms introduced in parts (a), (b), and (c) are called elementary: Ann x n matrix E is elementary if it can be obtained from ln by performing one of the three elementary row operations on ln. Describe the format of the three types of elementary matrices.
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