
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let A3×2 be a fixed matrix with a12 = a31 = 0, but
with other entries non-zero. Define T : M3,2 → M3,2
by T(X) = A ◦ X (the Schur-Hadamard product of
A and X). What is the range of T? What is the
kernel of T? Therefore what is rank(T)? Explain
your answers.
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