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# Lec 8- Solving Ax = b: Row Reduced Form R | ||
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1.Find the value of c that makes it possible to solve Ax = b, and solve it: <br> | ||
u + v + 2w = 2 <br> | ||
2u + 3v - w = 5 <br> | ||
3u + 4v + w = c: <br> | ||
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<details> | ||
<summary> | ||
Answer | ||
</summary> | ||
c == 7 allows u = 1, v == 1, w == O. The column space is a plane. | ||
</details> | ||
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2.What conditions on b1, b2, b3, b4 make each system solvable? Solve for x: | ||
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![Question2](Images/lec8_q2.png) | ||
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<details> | ||
<summary> | ||
Answer | ||
</summary> | ||
Solvable if b2 = 2b1 and 3b1 - ,3b3 + b4 = O. Then X = | ||
<br> | ||
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![Question2](Images/lec8_a1.png) | ||
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<br> | ||
(b) Solvable if b2 == 2b1 and 3b1 - 3b3 + b4 == O. Then x = | ||
<br> | ||
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![Question2](Images/lec8_a2.png) | ||
</details> |