矩阵及其运算课后习题答案

1 1 第二章 矩阵及其运算课后习题答案 1 ．已知线性变换： ,323,53,22321332123211yyyxyyyxyyyx 求从变量321,,xxx到变量321,,yyy的线性变换． 解 由已知：221321323513122yyyxxx 故 3211221323513122xxxyyy321423736947yyy 321332123211423736947xxxyxxxyxxxy 2 ．已知两个线性变换 ,54,232,232133212311yyyxyyyxyyx ,3,2,3323312211zzyzzyzzy 求从321,,zzz到321,,xxx的线性变换． 解 由已知 221321514232102yyyxxx321310102013514232102zzz3211 611 0941 2316zzz 所以有 3213321232111 61 0941 236zzzxzzzxzzzx 3 ．设111111111A, ,150421321B 求.23BAAABT及 解 AAB2315042132111111111131111111112 0926508503111111111222 942 01 722 21 32 1 2 150421321111111111BAT092650850 4．计算下列乘积： (1)127075321134; (2)1233,2,1; (3)2,1312; (4)20413121013143110412; (5)3213 32 31 32 32 21 21 31 21 1321),,(xxxaaaaaaaaaxxx; (6)30003200121013013000120010100121. 解 (1 )127075321134...