Thursday, December 24, 2015

College Algebra, Chapter 7, 7.4, Section 7.4, Problem 26

Determine the determinant of the matrix [1202340401601020]. State whether the matrix has an inverse, but don't calculate the inverse.

Let

A=[1202340401601020]

det(A)=[1202340401601020]=0|202404020|1|102304120|+6|122344100|+0|120340102|

det(A)=1|102304120|+6|122344100|

det(A)=1[1(0042)0(3041)+2(3210)]+6[1(4040)2(3041)+2(30(4)1)]

det(A)=4+96

det(A)=92

The given matrix has an inverse.

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