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Give at least one example to show that if a is invertible

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Reference no: EM13899246

Problem 1: Recall that given a vector norm |X| the operator norm of a matrix A is given by lAl = max|x|=1|AX|

Part I: Show that |I|= 1 for any the vector norm used. As always, I is the identity matrix.

Part II: Give at least one example to show that if A is invertible, the condition number of A, K(A) = |A||A-1| satisfies k(A)>0

Reference no: EM13899246

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