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Matrices and determinants
6 Class 9 Mathematics questions with answers and explanations.
Printable worksheet with answer key
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A matrix with 3 rows and 2 columns has order:
- 1 3 x 3
- 2 3 x 2
- 3 6
- 4 2 x 3
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Correct answer: 3 x 2
Order is written as rows x columns, so it is 3 x 2.
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What is the determinant of the matrix [[2, 3], [1, 4]]?
- 1 8
- 2 11
- 3 -5
- 4 5
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If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], what is A + B?
- 1 [[1, 2], [3, 4]]
- 2 [[1, 3], [4, 4]]
- 3 [[1, 3], [4, 5]]
- 4 [[0, 2], [3, 0]]
Show answer
Correct answer: [[1, 3], [4, 4]]
Add corresponding entries: [[1+0, 2+1], [3+1, 4+0]] = [[1, 3], [4, 4]].
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A matrix whose determinant is zero is called:
- 1 Identity
- 2 Singular
- 3 Non-singular
- 4 Diagonal
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Correct answer: Singular
A matrix with determinant 0 is singular and has no inverse.
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What is the transpose of [[1, 2, 3]]?
- 1 [[3, 2, 1]]
- 2 [[1], [2], [3]]
- 3 [[1, 2, 3]]
- 4 [[0]]
Show answer
Correct answer: [[1], [2], [3]]
The transpose swaps rows and columns, so a row matrix becomes a column matrix.
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What is 3 times the matrix [[1, 2], [0, 1]]?
- 1 [[3, 2], [0, 1]]
- 2 [[4, 5], [3, 4]]
- 3 [[1, 6], [0, 3]]
- 4 [[3, 6], [0, 3]]