Question

Write the matrix equation as a system of linear equations without matrices. [0,8,3] [-4,0,5] [0,-4,-3] [,y,z] [6,-2,3]

Answer 1

The provided matrix equation translates to a system of three linear equations: 8y + 3z = 6, -4x + 5z = -2, and -4y - 3z = 3.

Step-by-step explanation:

The matrix equation provided can be translated into a system of linear equations by matching each entry of the product of the two matrices on the left with the corresponding entry in the resultant matrix on the right. The system can be expressed as follows:

• 0·x + 8·y + 3·z = 6
• (-4)·x + 0·y + 5·z = -2
• 0·x + (-4)·y + (-3)·z = 3

Now we simplify the equations:

• 8y + 3z = 6
• -4x + 5z = -2
• -4y - 3z = 3

These equations represent the system of linear equations equivalent to the original matrix equation.