Suppose A is a 5x5 matrix and Axı = -X1, Ax2 = 2x2, v= 3x1 -...

Question

Question

Suppose A is a 5x5 matrix and Axı = -X1, Ax2 = 2x2, v= 3x1 - X2. Find real numbers a and b such that A?v=ax1 + bx2: Note: Thi

Answer 1

Answer #1

Ax, = -X, A X2 = 2X2 V =3x, - X2 7 AV » AV then AxV = A(3,-X2) = 3 AX, - AX₂ 34-X,) ~ 2X2 [using 16 and @ - AV = -3X, - 2 X2

Answer 2

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