The cofactor matrix
The cofactor matrix is
The product of
Given:
Given information:
The matrix
Concept Used:
A matrix B is invertible if B is non-singular and its inverse is given by
Calculation:
Here, we have
Let us find all the cofactors of
Therefore, the cofactor matrix is
And, the transpose of
Multiply
From the above result we can write
Since
Now, multiply the above equation both sides by
Substitute
Since
Thus, we can say that the product of
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Introduction to Linear Algebra, Fifth Edition
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