(a) Write the following system as a matrix equation .
(b) The inverse of is .
(c) The solution of the matrix equation is
(d) The solution of the system is ________, ________.
To convert the system of linear equations
into the system of matrix equation.
Two matrices and can be multiplied if they satisfy the condition that the number of columns in is same as the number of rows in .
Two matrices and are said to be equal if the matrices have the same dimensions and each element of is equal to the corresponding element of .
If we write the left-hand and right-hand sides of both linear equations as elements of matrices and equate them, we get:
Hence, the system of linear equation
is converted into the system of matrix equation as follows
To find the inverse of the matrix .
To find the solution of the given system of linear equations by matrix method.
The blanks in the statement “The solution of the system is ________, ________”.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started