Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Determinant of a 3×3 Matrix:
- The determinant of a 3×3 matrix can be found by the cofactor expansion method.
- It is expressed as:
- If the matrix has a common factor across rows or columns, it can be factored out to simplify calculations.
is a summation notation indicating summing function values from n = 1 to n = k. - Important identities used:
Calculation:
Given,
⇒ Extract common factors 20 and 10:
⇒ Expand determinant using first column:
Now,
⇒
⇒
∴ The value is -10000.
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