Matrices — Practice Quiz
ICSE · Class 10 · Mathematics
Try a 4-question quiz on Matrices for ICSE Class 10 Mathematics: tap an answer to check it and see why. 31 questions in the full chapter test.
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What is the order of the matrix A = [[2, 3, 1], [4, 5, 6]]?
If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], find A + B.
What type of matrix is [[0], [0], [0]]?
If 2A = [[4, 6], [8, 10]], find matrix A.
Sample Questions
Which of the following are properties of matrix addition? (Select all correct)
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Commutative: A + B = B + A, Associative: (A + B) + C = A + (B + C), Zero matrix acts as additive identity
Matrix addition is commutative and associative. Zero matrix is the additive identity. However, matrices must have the same order to be added, not just be square.
Which matrix is the 2×2 identity matrix?
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[[1, 0], [0, 1]]
An identity matrix has 1's on the main diagonal and 0's elsewhere. The 2×2 identity matrix is [[1, 0], [0, 1]].
Can matrices A (2×3) and B (3×2) be multiplied to give AB?
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Yes, AB will be a 2×2 matrix
Matrix multiplication AB is possible when the number of columns in A equals the number of rows in B. Here, A is 2×3 and B is 3×2, so AB exists and will be 2×2.
If A = [[1, 2]] and B = [[3], [4]], find AB.
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[[11]]
AB = [[1, 2]] × [[3], [4]] = [[1×3 + 2×4]] = [[3 + 8]] = [[11]]. This is a 1×1 matrix.
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