Matrices — Important Questions
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
44 important questions from Matrices for Maharashtra Board Class 12 Mathematics & Statistics -Commerce, with answers. Written for the board exams 2027.
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Important Questions from Matrices
Which of the following are diagonal matrices?
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[3 0; 0 5], [7 0 0; 0 2 0; 0 0 4], [0 0; 0 0]
A diagonal matrix has all non-diagonal elements as zero. Options 1, 3, and 4 satisfy this condition. The zero matrix is also considered diagonal.
The identity matrix of order 2 is:
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[1 0; 0 1]
The identity matrix has 1's on the main diagonal and 0's elsewhere. For order 2: I₂ = [1 0; 0 1].
If A = [1 2; 0 3] and B = [2 0; 1 4], find AB.
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[4 8; 3 12]
Matrix multiplication: AB = [1×2+2×1 1×0+2×4; 0×2+3×1 0×0+3×4] = [4 8; 3 12]. Use row×column multiplication rule.
Which of the following matrices are symmetric?
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[1 2; 2 3], [0 1; 1 0], [5 -2; -2 7]
A matrix is symmetric if A = A^T. This means a_ij = a_ji for all i,j. Options 1, 2, and 4 satisfy this condition.
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