To calculate:
The square roots of each matrix:
Answer to Problem 53E
The square roots are
Explanation of Solution
Given information:
A square root of a matrix
Calculation:
Know that:
Matrix square root property:
Given that:
A square root of a matrix
So, let
Now substitute this matrix equation with
Now equate the corresponding terms,
If
Now substitute
Now again substitute
So, a square root of matrix
That is square root of matrix
So now consider the matrix,
Noe substitute this matrix, Since
Equate the corresponding terms,
If
Substitute
Now again substitute
The equation
Therefore, a square root of a matrix
That is square root of matrix
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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