
Concept explainers
(a)
The value of
(a)

Answer to Problem 9T
The matrix addition is not possible.
Explanation of Solution
The given matrices are,
To add the matrices the number of rows and column of two matrices must be equal.
The number of rows and columns of matrix
The number of rows and columns of matrix
Thus, the addition of given matrix is not possible.
(b)
The value of
(b)

Answer to Problem 9T
The matrix multiplication is not possible.
Explanation of Solution
The given matrices are,
To perform multiplication operation between the matrices the significant condition is that the number of columns of first matrix must be equal to the number of rows of second matrix.
The number of columns of matrix
The number of rows of matrix
The number of columns of first matrix is not equal to number of rows of second matrix.
Thus, Multiplication of given matrix is not possible.
(c)
The value of
(c)

Answer to Problem 9T
The value of
Explanation of Solution
The given matrices are,
Apply matrix multiplication operation to find the value of
Thus, the value of
(d)
The value of
(d)

Answer to Problem 9T
The value of
Explanation of Solution
The given matrices are,
Apply matrix multiplication operation to find the value of
Thus, the value of
(e)
The value of
(e)

Answer to Problem 9T
The inverse of matrix
Explanation of Solution
The given matrices are,
The matrix
Compare the matrix
Formula to calculate the inverse of
Substitute
Thus, the inverse of matrix
(f)
The value of
(f)

Answer to Problem 9T
The inverse of matrix
Explanation of Solution
Given:
The given matrices are,
The essential condition to find the inverse of the matrix is that the given matrix must be a square matrix.
The matrix
Thus, the inverse of matrix is not possible.
(g)
The determinant of matrix
(g)

Answer to Problem 9T
The determinant of matrix
Explanation of Solution
Given:
The given matrices are,
The essential condition to find the determinant of the matrix is that the given matrix must be a square matrix.
The matrix
Thus, the determinant of matrix is not possible.
(h)
The determinant of matrix
(h)

Answer to Problem 9T
The determinant of the matrix
Explanation of Solution
Given:
The given matrices are,
The determinant of the matrix
The determinant of the matrix
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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