(a)
The value of
(a)
Answer to Problem 16E
The value of
Explanation of Solution
Given:
The matrices
Concept used:
Operations like addition and subtraction of matrices are only possible when they are of same dimension.
Dimension of matrix with a rows and b columns is given by
If a matrix is multiplied by a scalar then each element of the matrix is multiplied by the same scalar.
Calculation:
Add the matrix A and Bas follows:
Thus, the value of
Now, by graphing utility of matrix capability,
Hence, the result is verified.
(b)
The value of
(b)
Answer to Problem 16E
The value of
Explanation of Solution
Given:
The matrices
Concept used:
Operations like addition and subtraction of matrices are only possible when they are of same dimension.
Dimension of matrix with a rows and b columns is given by
If a matrix is multiplied by a scalar then each element of the matrix is multiplied by the same scalar.
Calculation:
Subtract the matrices A and Bas follows:
Thus, the value of
Now, by graphing utility of matrix capability,
Hence, the result is verified.
(c)
The value of
(c)
Answer to Problem 16E
The value of
Explanation of Solution
Given:
The matrix is
Concept used:
Operations like addition and subtraction of matrices are only possible when they are of same dimension.
Dimension of matrix with a rows and b columns is given by
If a matrix is multiplied by a scalar then each element of the matrix is multiplied by the same scalar.
Calculation:
Multiply all the elements of matrix A by 3 as follows:
Thus, the value of
Now, by graphing utility of matrix capability,
Hence, the result is verified.
(d)
The value of
(d)
Answer to Problem 16E
The value of
Explanation of Solution
Given:
The matrices
Concept used:
Operations like addition and subtraction of matrices are only possible when they are of same dimension.
Dimension of matrix with a rows and b columns is given by
If a matrix is multiplied by a scalar then each element of the matrix is multiplied by the same scalar.
Calculation:
The value of
Thus, the value of
Now, by graphing utility of matrix capability,
Hence, the result is verified.
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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