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7. Adjoint and Inverse of a Matrix
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Q1 of 74 Page 7

Find the adjoint of each of the following Matrices.


Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

A =


Cofactors of A are


C11 = d


C12 = – c


C21 = – b


C22 = a


Since, adj A =


(adj A) =


=


Now, (adj A)A =


(adj A)A =


And, |A|.I =


Also, A(adj A) =


Hence, (adj A)A = |A|.I = A.(adj A)


More from this chapter

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1

Find the adjoint of each of the following Matrices.


Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

1

Find the adjoint of each of the following Matrices.


Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

1

Find the adjoint of each of the following Matrices.


Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

2

Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A)


Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

Questions · 74
7. Adjoint and Inverse of a Matrix
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