Same chapter3 marksDifficulty: Easy
If A = [[2, 0], [−1, 3]] and B = [[1, 4], [2, −1]], find A + B and A − B.
Matrices
4 marksDifficulty: Hard
Solve the matrix equation [[2, 1], [3, 2]] × [[x], [y]] = [[5], [8]].
Original Khojo Papers practice question — not from a past board paper.
Answer
x = 2 and y = 1
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The product gives 2x + y = 5 and 3x + 2y = 8. Doubling the first equation gives 4x + 2y = 10, and subtracting the second leaves x = 2, from which y = 1.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
If A = [[3, 1], [0, 2]], find A2.
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If A is a 2 × 3 matrix and B is a 3 × 4 matrix, state the order of AB.
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Same chapter2 marksDifficulty: Easy
If A = [[1, −2], [3, 0]], find 2A.
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Same chapter3 marksDifficulty: Medium
Find the product [[1, 2], [3, 4]] × [[2, 0], [1, 3]].
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Same chapter3 marksDifficulty: Medium
Find x and y if [[x, 3], [2, y]] = [[4, 3], [2, 5]].
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