Question

有关矩阵的一道习题,设a,b,x,y,z都是四维列向量,A=(a,x,y,z),B=(b,x,2y,3z).如果已知│A

Answer 1

|A+B|

= |a+b,2x,3y,4z|

= 2*3*4 |a+b,x,y,z|

= 24 (|a,x,y,z| + |b,x,y,z|)

= 24 (|A| + (1/6)|b,x,2y,3z| )

= 24 (|A|+(1/6) |B|)

= 48 + 4

= 52.