Question
Download Solution PDFConsider the following statements:
1. the matrix
2. The matrix
Which of the above statements is/are correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
A square matrix is singular if and only if its determinant is 0, otherwise it is non-singular.
Calculation:
1.
Determinant
= 1(2a - 2b) -2 (a - b) + 1(2ab - 2ab)
= 2a - 2b - 2a + 2b + 0
= 0
So this statement is correct.
2.
Determinant
= c (2a - 2b) - 2c (a - b) + 1 (2ab - 2ab)
= 2ac - 2bc - 2ac + 2bc + 0
= 0
So, this statement is not correct.
Hence, option (1) is correct.
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