Final answer:
To find the value of AA' for matrix A, we multiply A by its transpose to get a 2x2 matrix AA' = [13, 14; 14, 20].
Step-by-step explanation:
You have asked to find the value of AA' for the matrix A = [3, 2; 2, 4].
To find AA', we need to multiply matrix A by its transpose, A'.
First, we determine the transpose of A, which is A' = [3, 2; 2, 4] since A is symmetric.
The multiplication of A and A' is then:
A = [3, 2]
[2, 4]
A' = [3, 2]
[2, 4]
Multiplying these matrices, we get:
AA' = [3*3+2*2, 3*2+2*4]
[2*3+4*2, 2*2+4*4]
= [13, 14]
[14, 20]
So, the value of AA' is the 2x2 matrix [13, 14; 14, 20].