Show that for matrices A, B E RXn, a vector w = ABx can be written as w = E,(b{ x)a;, %3D :D1 where b is the ith row of matrix B, and a; is the ith column of matrix A. (Hint: Let z = Bx, then w = Za, + z2a2 +…+ znan).

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A:

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A:

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A: Given that

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A:

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A: We will simplify the given expression.     8a+4e+5d+3a=11a+4e+5d

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A:

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A:

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A: this is a two variable linear equation X + 3Y = 9

Q: y +y - 2y = 0

A: Here we have to solve , the given differential equation  y"+y'-2y=0 ...........(1)