SOLUTION: Hi please help :) Determine the value(s) of x such that: A= [x,2,1] B= [2,4,-2] [4,1,3] [-2,41,3] C= [x] [-1] [3] So the actual question becomes A*B*C=0 and i need to

SOLUTION: Hi please help :) Determine the value(s) of x such that: A= [x,2,1] B= [2,4,-2] [4,1,3] [-2,41,3] C= [x] [-1] [3] So the actual question becomes ABC=0 and i need to

Question 1159497: Hi please help :)
Determine the value(s) of x such that:
A=
[x,2,1]
B=
[2,4,-2]
[4,1,3]
[-2,41,3]
C=
[x]
[-1]
[3]
So the actual question becomes A*B*C=0 and i need to determine the value(s) of x Thanks so much
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Multiple matrix multiplications are performed in order, left to right:
A*B*C = (A*B)*C

A*B: (the product of a 1X3 matrix and a 3X3 matrix is a 1X3 matrix)

=
=

(A*B)*C: (the product of a 1X3 matrix and a 3X1 matrix is a 1X1 matrix)

=
=

We need the product of the matrices to be 0:

OR

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