
Concept explainers
(a)
Find the addition of matrix
(a)

Answer to Problem 17P
The addition of matrix
Explanation of Solution
Given data:
Calculation:
Add two matrixes
Reduce the equation (1) as follows,
Therefore, the addition of matrix
Conclusion:
Thus, the addition of matrix
(b)
Find the subtraction of matrix
(b)

Answer to Problem 17P
The subtraction of matrix
Explanation of Solution
Given data:
Calculation:
Subtract two matrixes
Reduce the equation (2) as follows,
Therefore, the subtraction of matrix
Conclusion:
Thus, the subtraction of matrix
(c)
Find the value of
(c)

Answer to Problem 17P
The value of
Explanation of Solution
Given data:
Calculation:
Three times of matrix
Reduce equation (3) as follows,
Therefore, the value of
Conclusion:
Thus, the value of
(d)
Find the multiplication of matrix
(d)

Answer to Problem 17P
The multiplication of matrix
Explanation of Solution
Given data:
Calculation:
Multiply the matrix
Reduce equation (4) as follows,
Therefore, the multiplication of matrix
Conclusion:
Therefore, the multiplication of matrix
(e)
Find the multiplication of matrix
(e)

Answer to Problem 17P
The multiplication of matrix
Explanation of Solution
Given data:
Calculation:
Multiply the matrix
Reduce equation (5) as follows,
Therefore, the multiplication of matrix
Conclusion:
Therefore, the multiplication of matrix
(f)
Find the square of matrix
(f)

Answer to Problem 17P
The square of matrix
Explanation of Solution
Given data:
Calculation:
Square of the matrix
Reduce equation (6) as follows,
Therefore, the square of matrix
Conclusion:
Therefore, the square of matrix
(g)
Prove the operation
(g)

Explanation of Solution
Given data:
Calculation:
Therefore,
Reduce equation (7) as follows,
Now,
Reduce equation (9) as follows,
Comparing equation (9) and (10),
Hence proved
Conclusion:
Thus, the operation
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Chapter 18 Solutions
ENGINEERING FUNDAMENTALS
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