If A = 0 & 2 \\ 3 & -4 and kA = 0 & 3a \\ 2b & 24 , then the values of k, a, b are respectively: - Mathematics MCQ Mathematics Mock Test - 6 2026 | ExamTest.live

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If A = [03 2 - 4] and k A = [0 2 b 3 a 24], then the values of k, a, b are respectively:

Solution & Step-by-step Explanation

Given k A = k [03 2 - 4] = [0 3 k 2 k - 4 k] .Comparing this to the given matrix [0 2 b 3 a 24] : - 4 k = 24 ⟹ k = - 6 2 k = 3 a ⟹ 2 (- 6) = 3 a ⟹ - 12 = 3 a ⟹ a = - 4 3 k = 2 b ⟹ 3 (- 6) = 2 b ⟹ - 18 = 2 b ⟹ b = - 9 The values are k = - 6, a = - 4, b = - 9 .

Try it yourself before checking the explanation above.

If A = [03 2 - 4] and k A = [0 2 b 3 a 24], then the values of k, a, b are respectively:

- 6, - 12, - 18

- 6, 4, 9

- 6, - 4, - 9

- 6, 12, 18

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