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Lesson Worksheet: Inverse of a Matrix: The Adjoint Method Mathematics • 10th Grade
In this worksheet, we will practice finding the inverse of 3 × 3 matrices using the adjoint method.
Q2:
Find the adjoint matrix of the matrix
- A
- B
- C
- D
Q6:
Consider the matrix Determine whether the matrix has an inverse by finding whether the determinant is nonzero. If the determinant is nonzero, find the inverse using the formula for the inverse which involves the cofactor matrix.
- AThere is no inverse because its determinant equals zero.
- BIt has an inverse, which is .
- CIt has an inverse, which is .
- DIt has an inverse, which is .
- EIt has an inverse, which is .
Q7:
Suppose that , where
and is a matrix.
Calculate the inverse of and use it to find .
- A
- B
- C
- D
- E
Q9:
Consider the matrix Determine whether the matrix has an inverse by finding whether the determinant is nonzero. If the determinant is nonzero, find the inverse using the formula for the inverse which involves the cofactor matrix.
- AIt has an inverse, which is .
- BIt has an inverse, which is .
- CIt has an inverse, which is .
- DIt has an inverse, which is .
- EThere is no inverse because its determinant equals zero.