Question

pls answer 5,6,7,8

For the matrices below, [4 3 77 AE [4 77 11 2 5 6 B- CE 1 27 120 4 D-1943 (2 -1 7 -6] 5 G= 1764] [i 7 (4 5 87 2 3 0 6] Perform the following operations: 5) CXG 6) Det (B) 7) E 8) Can you calculate Dor Det (G)? Why is that?

Answer 1

5) The multiplication of matrices C and G is calculated as,

C×G =(3×7 3×6 3×4

5×7 5×6 5×4

1×7 1×6 1×4)=

=
(21   18   12
35   30   20
7   6   4)

6) Det(B) is calculated as,

4×2×4+3×7×2+7×1×0−2×2×7−0×7×4−4×1×3

= 34

Det(B)=34

7) E^-1 is calculated as,

( 12   -30   -1
-30   -26   53 ×  1/−202 =
-8   20   -33 )

(-0.059  0.149  0.005
 0.149  0.129 -0.262
 0.040 -0.099  0.163 )

8) D-1 cannot be calculated because the matrix D is not square. The Det(G) cannot be calculated because it is not a square matrix.