(d) AB = 0 but neither A nor B is 0. (e) AB = I but neither A nor B is I. %3D
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Transcribed Image Text:(d) AB = 0 but neither A nor B is 0.
(e) AB = I but neither A nor B is I.
%3D
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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