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![SOLVED: Prove that, if X1 and X2 are both solutions to the homogeneous system AX = O, then aX1 + bX2 is also a solution for any scalars a and b. SOLVED: Prove that, if X1 and X2 are both solutions to the homogeneous system AX = O, then aX1 + bX2 is also a solution for any scalars a and b.](https://cdn.numerade.com/ask_previews/28e18181-dfbe-493f-ab85-8dfd9be4fde6_large.jpg)
SOLVED: Prove that, if X1 and X2 are both solutions to the homogeneous system AX = O, then aX1 + bX2 is also a solution for any scalars a and b.
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![SOLVED: Suppose that X1 and X2 are solutions to Ax b (where b = 0). Decide if any of the following are also solutions to Ax = b X1 + X2 ii. SOLVED: Suppose that X1 and X2 are solutions to Ax b (where b = 0). Decide if any of the following are also solutions to Ax = b X1 + X2 ii.](https://cdn.numerade.com/ask_images/a6613a1d0d8b49cd8505a3a3546afcc1.jpg)
SOLVED: Suppose that X1 and X2 are solutions to Ax b (where b = 0). Decide if any of the following are also solutions to Ax = b X1 + X2 ii.
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