If ๐ด = [โ2 43 โ1] ๐๐๐ ๐ต = [1 34 โ1], then verify that either B is a multiplicative inverse ofA or not?
Question
If ๐ด = [โ2 43 โ1] ๐๐๐ ๐ต = [1 34 โ1], then verify that either B is a multiplicative inverse ofA or not?
Solution
To verify if B is a multiplicative inverse of A, we need to multiply matrix A by matrix B. If the result is an identity matrix, then B is a multiplicative inverse of A.
However, in this case, A and B are not square matrices, they are 1x3 matrices. The concept of multiplicative inverse is not defined for non-square matrices.
Therefore, we cannot verify if B is a multiplicative inverse of A because the concept does not apply to these matrices.
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check that B is the correct inverse using R
๐๐ข๐๐๐๐ ๐ย ๐กโ๐๐กย ๐กโ๐ย ๐โ๐๐๐๐๐ก๐๐๐๐ ๐ก๐๐ย ๐๐๐๐ฆ๐๐๐๐๐๐ย ๐๐ย ๐ ๐๐๐ย ๐๐๐ก๐๐๐ฅย ๐ดย ๐๐ ย ๐๐๐ข๐๐ย ๐ก๐ย ๐๐ย ๐(๐)ย =ย (๐ย -ย 1)๐ย -32ย ย ๐ย -43ย ย .ย ๐โ๐๐กย ๐๐ ย ๐กโ๐ย ๐ ๐๐ง๐ย ๐๐ย ๐ด?
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