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प्रश्न
If A = `((1, 3),(2, 1),(3, -1))` and B = `((2, 1),(1, 2),(1, 1)),` then find the matrix C such that A + B + C is a zero matrix.
योग
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उत्तर
A + B + C = 0
C = −(A + B)
Find A + B:
A + B = `((1 + 2, 3 + 1),(2 + 1, 1 + 2),(3 + 1, -1 + 1))`
= `((3, 4),(3, 3),(4, 0))`
Find C:
C = `-((3, 4),(3, 3),(4, 0))`
= `((-3, -4),(-3, -3),(-4, 0))`
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