Question

If the following system of equations was written as a matrix equation in the form ax=c, and matrix a was expressed in the form a=[acbd], find the value of a-b c d.

Answer 1

To write the system of equations as a matrix equation, we need to express the coefficients and variables in matrix form. The matrix equation in the form Ax = C is obtained by multiplying the coefficient and variable matrices. The value of a-b c d in the matrix equation form is a1-b1 a2-b2.

Step-by-step explanation:

Matrix equation:

To write the system of equations as a matrix equation, we need to express the coefficients and variables in matrix form. Let's assume the system of equations is:

a1x + b1y = c1

a2x + b2y = c2

The coefficient matrix A is:

A = [[a1, b1], [a2, b2]]

The variable matrix X is:

X = [[x], [y]]

The constant matrix C is:

C = [[c1], [c2]]

The matrix equation in the form Ax = C is obtained by multiplying the coefficient and variable matrices:

Ax = C

[[a1, b1], [a2, b2]] * [[x], [y]] = [[c1], [c2]]

So, the value of a-b c d is a1-b1 a2-b2 in the matrix equation form.