Consult determinant calculation 0 12 4 1 20 1 3 - 1 35 2 6 3 4 3 3 5 0 Consult determinant calculation 0 1 2 4 1 2 0 1 1 3 -1 3 5 2 6 3 4 3 5 0 1 1 1 6 6

Consult determinant calculation 0 12 4 1 20 1 3 - 1 35 2 6 3 4 3 3 5 0 Consult determinant calculation 0 1 2 4 1 2 0 1 1 3 -1 3 5 2 6 3 4 3 5 0 1 1 1 6 6

c4-2c3,c3-2c2,c5-c2
0 1 0 0 0
2 0 1 -1 3
-1 3 -1 -8 3
3 4 -5 -1 -4
1 1 -1 4 5
Expand by column 2, d = - 1*
2 1 -1 3
-1 -1 -8 3
3 -5 -1 -4
1 -1 4 5
r1+2r2,r3+3r2,r4+r2
0 -1 -17 9
-1 -1 -8 3
0 -8 -25 5
0 -2 -4 8
Expand by column 1
-1 -17 9
-8 -25 5
-2 -4 8
c3+4c1,c2-2c1
-1 -15 5
-8 -9 -27
-2 0 0
Expand d = 2 by line 3*
-15 5
-9 -27
= 2*(15*27 + 5*9)
= 900.

Find the value of fourth order determinant a 0001 B 00024 C 00356 D
Second, 24 C 0;
1 b 0 0
2a 0 0 0
3 5 6 d
The third 4 2 5 4
2 1 1 2
0 3 8 6
8 4 4 8

The first a 0 0
1 b 0 0
2 4 c 0
3 5 6 d
The value is ABCD, because this is a typical lower triangle, and the diagonals are multiplied directly
Second, 24 C 0;
1 b 0 0
2a 0 0 0
3 5 6 d
The value is 2abd. Because the fourth row and the third row are exchanged, then the second row is exchanged, and then the first row is exchanged, so that it is replaced by the upper triangle. Note that the sign change and the symbol of the upper triangle are not exchanged once
The third 4 2 5 4
2 1 1 2
0 3 8 6
8 4 4 8
The value is zero because the second and fourth rows are proportional and their determinant is zero

Let the determinant of (2,2, - 1,3; 4, x ^ 2-5, - 2,6; - 3,2, - 1, x ^ 2 + 1; 3, - 2,1, - 2) be 0, and find X

The second column of the determinant plus the third column multiplied by 2, becomes (0, x ^ 2-9,0,0) ^ t, and then expands according to the second column, the equation is: (x ^ 2-9) * | 2 - 1 3 | = 0-3 - 1 x ^ 2 + 13 1 - 2, and then the second row plus the third row of the determinant, becomes (0,0, x ^ 2-1), and expands according to the second row, the equation is: (x ^ 2-9) (x ^ 2-1) * [(-...)