(d) AB = 0 but neither A nor B is 0. (e) AB = I but neither A nor B is I. %3D

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Chapter2: Second-order Linear Odes
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(d) AB = 0 but neither A nor B is 0.
(e) AB = I but neither A nor B is I.
%3D
Transcribed Image Text:(d) AB = 0 but neither A nor B is 0. (e) AB = I but neither A nor B is I. %3D
For each problem find square matrices which satisfy the given conditions. You don't have to
justify how you found the matrices for each problem, but you must verify the equality with
calculations in each case. Just show the matrices A, B,C and the given products.
The following restrictions are required for each problem:
No matrix A, B, or C can be diagonal, none can be equal or a scalar multiple of each other,
and no product can be the zero matrix (except (d)) or scalar multiple of the identity matrix
(except (e)). All of the below are possible with these restrictions.
Transcribed Image Text:For each problem find square matrices which satisfy the given conditions. You don't have to justify how you found the matrices for each problem, but you must verify the equality with calculations in each case. Just show the matrices A, B,C and the given products. The following restrictions are required for each problem: No matrix A, B, or C can be diagonal, none can be equal or a scalar multiple of each other, and no product can be the zero matrix (except (d)) or scalar multiple of the identity matrix (except (e)). All of the below are possible with these restrictions.
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