Question

Find
the value
of Determinant
3 2​

Answer 1

$\mathcal{\underline{\overline{\huge{\pink{ AnSwEr }}}}}$

[2,-3,1;2,0,-1;1,4,5]

Applying the formula,

the formula to find the determinant of a square matrix (3x3) is determinant of [a,b,c;d,e,f;g,h,i] = a times the determinant of [e,f;h,i] minus b times the determinant of [d,f;g,i] plus the c times the determinant of [d,e;g,h]

the determinant of matrix [2,-3,1;2,0,-1;1,4,5] is calculated as 2 times the determinant of [0,-1;4,5] minus (-3) times the determinant of [2,-1;1,5] plus 1 times the determinant of [2,0;1,4] which can be further simplified as 2+3+1[8-0]= 2 (0+4) +3 (10+1) + 1 (8-0) = 2(4)+3(11)+1(8)=8+33+8=49, therefore det[2,-3,1;2,0,-1;1,4,5] = 49