已知矩阵A=
(1-1
23),
E为二阶单位矩阵,令B=A2-3A+2E,则B=_____.
已知矩阵A=
(1-1
23),
E为二阶单位矩阵,令B=A2-3A+2E,则B=_____.
【正确答案】:(-2 -1 2 0) 本题主要考查的知识点为矩阵的加法和方幂.B=A2-3A+2E= (1 -1 2 3) (1 -1 2 3) -3 (1 -1 2 3) +2 (1 0 0 1) = (-1 -4 8 7) + (-3 3 -6 -9) + (2 0 0 2) = (-2 -1 2 0)
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