How do you solve questions 6,8 and 10 in the picture?
2 answers:
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We found a counterexample, so the statement is false.
<h3>Is the statement true?</h3>
Let's use the matrix:
This is a 4x4 matrix with determinant equal to -2.
The inverse matrix is:
If we multiply it by 2, we get:
The adjoint of that is the original matrix, actually:
Which we already know, has a determinant of -2.
So the statement is false, as we found a counterexample.
If you want to learn more about matrices:
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