Homework SourseMATRIX ALGEBRA Is1 2 3 9 0 7 18 15 0 0 0 4 0 0 0 3 singularS
MATRIX ALGEBRA Is[1 2 -3 9 0 7 18 15 0 0 0 4 0 0 0 3] singular?![MATRIX ALGEBRA Is[1 2 -3 9 0 7 18 15 0 0 0 4 0 0 0 3] singular?SolutionYes. BEcause we can see that last two columns are multiples of each other. And since det](/WebImages/13/matrix-algebra-is1-2-3-9-0-7-18-15-0-0-0-4-0-0-0-3-singulars-1015359-1761524569-0.webp "MATRIX ALGEBRA Is[1 2 -3 9 0 7 18 15 0 0 0 4 0 0 0 3] singular?SolutionYes. BEcause we can see that last two columns are multiples of each other. And since det")
Solution
Yes.
BEcause we can see that last two columns are multiples of each other. And since determinant is invariane to elementary row or column operations. So we can perform an elementary column operation to reduce teh 4th column to 0 and hence determinant is 0.
