JEE Main 2022 Mathematics question
The number of matrices A = , where a, b, c, d {−1, 0, 1, 2, 3, , 10}, such that , is .
Answer: 50
Solution
means = , so + bc = + bc = 1 and b(a + d) = c(a + d) = 0. Then . If then b = c = 0 and , giving : 2 matrices.
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