Given: A=[q_1 q_4 q_7 q_ 2 q_5 q_8 q_3 q_6 q_9] (1) A is a matrix with determinant 1,orthogonal , invertible and not necessary that all qis are equal.

Khalfanebw

Khalfanebw

Answered question

2022-09-20

Given:
(1) A = [ q 1 q 2 q 3 q 4 q 5 q 6 q 7 q 8 q 9 ]
A is a matrix with determinant 1,orthogonal , invertible and not necessary that all q i s are equal. All entries of the A are constants cant alter
(2) C = [ p 1 p 2 p 3 p 4 p 5 p 6 p 7 p 8 p 9 ]
C is a matrix which is non-invertible and not necessary that all p i s are equal. All entries of the C are constants cant alter
(3) B = ( 0 z y z 0 x y x 0 )
B is a matrix which is non-invertible. It is the varible matrix,and the variables are x , y , z
If we have the equation
(4) A = B C
Can we find the solutions of x , y , z interms of constants p i s and q i s ?

Answer & Explanation

Cassie Moody

Cassie Moody

Beginner2022-09-21Added 10 answers

In fact the system does not have any solution. Note that from A being invertible, C being not invertible and A = B C, one have
0 det A = det B det C = det B 0 = 0.
So there there is no solution.
Karsyn Stafford

Karsyn Stafford

Beginner2022-09-22Added 2 answers

The equation has no solution because 1 = ! det ( A ) = det ( B C ) = det ( B ) det ( C ) = ! 0

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