Matrices
ICSE · Class 10 · Mathematics
Practice quiz for Matrices — ICSE Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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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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