1. For the matrix 𝐵𝐵 = �1 2 −2−1 0 14 3 1�finda) B 2 = B×B
Question
- For the matrix 𝐵𝐵 = �1 2 −2−1 0 14 3 1�finda) B 2 = B×B
Solution
Sure, to find the square of a matrix (B^2), we need to multiply the matrix by itself. Here is how you can do it:
Matrix B is:
1 2 -2
-1 0 1 4 3 1
To find B^2, we multiply B by B:
B^2 = B * B
This results in a new 3x3 matrix where each element is calculated as follows:
B^2[1,1] = B[1,1]*B[1,1] + B[1,2]*B[2,1] + B[1,3]*B[3,1]
B^2[1,2] = B[1,1]*B[1,2] + B[1,2]*B[2,2] + B[1,3]*B[3,2]
B^2[1,3] = B[1,1]*B[1,3] + B[1,2]*B[2,3] + B[1,3]*B[3,3]
And so on for the rest of the elements in the B^2 matrix.
After performing these calculations, you will have the B^2 matrix.
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