Matrix operations possess many properties. Let A, B and C be 3 matrices of the same size n x n, and d and e be 2 different real number scalars. Which of the following is NOT one of the properties?
d(AB) = (dA)B = A(dB)
A(BC) = (AB)C
d(eA) = (de)A
(A+B)^2 = A^2 + 2AB + B^2
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d(43+)89123344edggghikjnkoi
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(A+B)² = A² + 2AB + B² is the wrong one among the given matrix properties.
If A and B are any two square matrices,
(A+B)² = (A+B) (A+B)
= A.A + A.B + B.A + B.B
= A² + A.B + B.A + B²
All other given properties are correct.
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