Matrices — Important Questions
ICSE · Class 10 · Mathematics
31 important questions from Matrices for ICSE Class 10 Mathematics, with answers. Includes multiple choice, multiple correct and true false questions.
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See them allImportant Questions from Matrices
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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