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87年 - 87 淡江大學 轉學考 線性代數#56385
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(b) Determine whether the matrix given in (a) is invertible., (5%)
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【已刪除】1. Find the kernel of the linear transformation T : R3 → R3 defined by (10%)
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【已刪除】2(a)-Eind the rank of the matrix (10%)
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(a) Find the matrix representation A of T relative to B = {l,x,x2,x3}. ,(5%)
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(b) Find the change-coordinates matrix from B to B' = {x,1 + x,x+ x2,x3}. (5%)
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(c) Find the matrix representation Ar of T relative to B'. (5%)
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【已刪除】
#214174
5. Let A and B be both nx n matrices. Prove that the product AB is invertible if and only if both A and B are invertible. (10%).
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,(a) Find the characteristic polynomial of A. (5%)
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