SOLUTION: Find the determinant of the matrix. Determine whether the matrix has an inverse, but don't calculate the inverse.
[2 1 0]
[0 -2 4]
[0 1 -3]
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Question 1129197: Find the determinant of the matrix. Determine whether the matrix has an inverse, but don't calculate the inverse.
[2 1 0]
[0 -2 4]
[0 1 -3]
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The determinant is:
the matrix
have inverse because D = 4
If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
If you need to learn about the determinant of a 3x3-matrix, read the lesson
- Determinant of a 3x3 matrix
- Co-factoring the determinant of a 3x3 matrix
in this site.
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