How do you find the determinant of #|(1.5, -3.6, 2.3), (4.3, 0.5, 2.2), (-1.6, 8.2, 6.6)|#?

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Answer 1 · 2016-12-20T18:07:58

The answer is #=175.668#

The determinant is calculated as follows

#| (a,b,c), (d,e,f), (g,h,i) | #

#=a | (e,f), (h,i) |-b | (d,f), (g,i) |+c | (d,e), (g,h) |#

#=a(ei-fh)-b(di-fg)+c(dh-eg)#

Therefore,

#| (1.5,-3.6,2.3), (4.3,0.5,2.2), (-1.6,8.2,6.6) | #

#=1.5(6.6*0.5-2.2*8.2)+3.6(4.3*6.6+2.2*1.6)+2.3(4.3*8.2+1.6*0.5)#

#=-22.1+114.84 +82.938=175.668#