Question
Download Solution PDFFind the determinant of the matrix
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Properties of Determinant of a Matrix:
- If each entry in any row or column of a determinant is 0, then the value of the determinant is zero.
- For any square matrix say A, |A| = |AT|.
- If we interchange any two rows (columns) of a matrix, the determinant is multiplied by -1.
- If any two rows (columns) of a matrix are same then the value of the determinant is zero.
Calculation:
Apply R1 → R1 + R2
=
As we can see that the first and the third row of the given matrix are equal.
We know that, if any two rows (columns) of a matrix are same then the value of the determinant is zero.
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