Class 11 Mathematics · Chapter 4 · Test 2
Matrices and Determinants 2
39 MCQs This set covers minors, cofactors, determinants of order 3, the properties of determinants, the adjoint and the inverse of a matrix.
39 questions · 35 min · 39 marks
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Sample questions
The first 5 of 39. Try each one, then tap to see the answer.
Question 1
The minor of an element aij is the determinant formed by deleting
- ARow i and column j
- BOnly row i
- COnly column j
- DThe diagonal
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Answer: A
Minor Mij is obtained by deleting the ith row and jth column.
Question 2
The cofactor Aij of an element is defined as
- AMij
- B(-1)^(i+j) Mij
- C(-1)^i Mij
- D-Mij
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Answer: B
Aij=(-1)^(i+j) Mij.
Question 3
The cofactor of the element in row 1 and column 2 carries the sign
- APositive
- BZero
- CNegative
- DDepends on the element
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Answer: C
(-1)^(1+2) = -1.
Question 4
The cofactor of the element in row 2 and column 2 carries the sign
- APositive
- BNegative
- CZero
- DAlways minus
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Answer: A
(-1)^(2+2)=+1.
Question 5
A determinant of order 3 can be expanded along
- AOnly the first row
- BAny row or any column
- COnly the first column
- DOnly the diagonal
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Answer: B
|A| is the sum of elements times their cofactors along any row or column.
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