Use a ij notation to prove the following properties of transposition. In each case, verify the
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Use “aij” notation to prove the following properties of transposition. In each case, verify the property with a simple example using 2 × 3 matrices.
a. (AT)T = A
b. (kA)T = kAT
c. (A + B)T = AT + BT, with A and B having identical dimensions
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a Since A aij AT aj aji and so ATT a aj A as required 14 138 45T 456 36 For examp...View the full answer
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Related Book For
Introduction To Actuarial And Financial Mathematical Methods
ISBN: 9780128001561
1st Edition
Authors: Stephen Garrett
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