00:01
From the question, the given system of linear equation is 5x minus 2y plus 3z equal to minus 1, 3x plus y minus 2z equal to 25, 2x minus 4y plus 5z equal to minus 29.
00:47
The system of representation as ax equal to b, where a equal to 5, b 2 minus 2, 1 minus 4, 3 minus 2, 5, x is equal to x, y, z and b equal to minus 1, 25, 29, where a is coefficient matrix and let d is determinant of a, then by using cramer rule, x is equal to dx divided by d, y is equal to dy divided by d, z is equal to dz divided by d, d not equal to 0.
02:38
So, d equal to modulus of a equal to modulus of 5, 3, 2, minus 2, 1, minus 4, 3, minus 2, 5 equal to 5 into 1, minus 4, minus 2, 5 plus 2 into 3, 2, minus 2, 5 plus 3 into 3, 2, 1, minus 4 equal to 5 into 5 minus 8 plus 2 into 15 plus 4 plus 3 into minus 12, minus 2 equal to minus 15 plus 38 minus 42 equal to minus 19, this is value of d...