Question: If A and 13 are square matrices ( not necessarily of the same size ), we define A DB to be the block diagonal matrix

If A and 13 are square matrices ( not necessarily
If A and 13 are square matrices ( not necessarily of the same size ), we define A DB to be the block diagonal matrix A o B For example , 2 2 0 0 00 3 4 2 2 2 3 4 O 3 3 3 0 0 2 2 2 0 3 3 3 Suppose that TELLV). Suppose also that V = W. @ W2, where W. and W. are T- invariant subspaces of V. Let d. and do be bases for W. and Wz , respectively, and Let B = d, Udz . Show that (T ] ? = [ T/w. )2, 1 LT wald . (You do not need to prove that B is a basis for V )

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