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Let 9 - {(1,3), (-2,-2)) and 8 = {(-12, 0),(-4,4) be bases for R, and let --12:] be the matrix for T. R2 + R2 relative to B.
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Answer #1

8= {(1,2).(-2,-2)] B= {(-12,0), C-4,4 33 23 a) (-12,0) = a[1,37 +66-2-2) a-ab=-12 3a-ab=0 Qa=-12 a=qb=18 و م ط (-4,4)= a(1,3)+(-2-2b a-ab=-4 3a-qb= 4 2a -8 a= 4 -ab -8 b-4 Ġ 4 P- १ 4g! - EAN [vie = P [vlsl 64 9. EN 10 1. 4- [cv]B 8 [^] d B 이사 23 6 4 9 수 4][4] - 314 싶 A = POP 6 년 월 ㅎ 94 =T 473 15a 2 d) [Tiva] - [Tinja JE 28 -41 (½ ½ 3/4-1/2 13/3 L-1/2 [v]el i 4/3 152 2 F13/3 Five So JE 1-1/a) for finding P we express each vector in basis B' as a linear combination of vectors in basis B.

then using that coefficients we write P

we do another parts step by step above.

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