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(a) Write the following set of equations in matrix form:
(b) Multiply the matrix of coefficients by its transpose; i.e.,
(a)
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The matrix form of the following set of equations,
Answer to Problem 1P
Solution:
The matrix form of the set of equations is,
Explanation of Solution
Given:
The set of equations,
Consider the set of equations,
The set of equations can be written as,
These equations have three unknowns
The matrix form of the above set of equations can be written as,
Where, A is the coefficient matrix.
Therefore, the matrix form of the set of equations is,
(b)
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To calculate: The matrix multiplication of the coefficient matrix with its transpose, that is
Answer to Problem 1P
Solution:
The matrix multiplication of the coefficient matrix with its transpose is,
Explanation of Solution
Given:
The coefficient matrix,
Formula used:
Transpose of the matrix
Calculation:
Consider the coefficient matrix,
The transpose of the matrix A is denoted by
Multiplication of the coefficient matrix and its transpose is,
Therefore, the matrix multiplication of the coefficient matrix with its transpose is,
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Numerical Methods for Engineers
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