3+1-1+2-5+1+3-42设D=2+0+1-1,记D的(j)元的代数余子式为A,1-5+3+3求+6A_(41)+
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咨询记录 · 回答于2023-06-10
3+1-1+2-5+1+3-42设D=2+0+1-1,记D的(j)元的代数余子式为A,1-5+3+3求+6A_(41)+
亲亲,很高兴为您解答哦,+6A_(41)+的解是18,首先,可以对其进行简化:3 + 1 - 1 + 2 - 5 + 1 + 3 - 42 = -38接下来,计算D,有:D = 2 + 0 + 1 - 1 = 2,A为D的(j)元的代数余子式,则A为:A = (-1)^(j+1)(d_1jd_2(j+1)*d_3(j+2)*d_4(j+3))因为j=1,代入矩阵D中的元素值进行计算,可以得到:d_11 = -1, d_12 = 1, d_13 = 0, d_14 = -2,d_21 = 3, d_22 = 1, d_23 = -1, d_24 = 4,d_31 = -3, d_32 = -1, d_33 = 1, d_34 = -2,d_41 = -1, d_42 = 1, d_43 = -3, d_44 = 2因此,有:A = (-1)^(1+1)(-1)(1)(-1)(-3) = 3,最后,求解6A_(41):6A_(41) = 6A = 63 = 18,因此,最终结果为18。