SOLUTION: Determine x, y and z for the matrix equation holds: x,y*0,1=6,13 z,4*3,4=12,13

Algebra.Com
Question 549623: Determine x, y and z for the matrix equation holds:
x,y*0,1=6,13
z,4*3,4=12,13

Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
The way to multiply two 2×2 matrices is like this:

 = 

Use that rule to multiply the two 2×2 matrices on the left:

 = 

 = 

 = 

Equate corresponding elements of the matrices on the left
and right:



From those you get x=5, y = 2, z = -3

Edwin

RELATED QUESTIONS

Determine x, y and z for the matrix equation holds: x,y * 0,1 = 6,13 z,4 * 3,4 = 12,13 (answered by mathie123,Alan3354)
solve the system using a matrix equation: -2x+y+2z=-13 -x-4y+z=-11... (answered by tommyt3rd)
solve for y in the equation 3/x - 4/y + 6/z = 1 9/x + 8/y - 12/z = 3 9/x - 4/y + 12/z... (answered by KMST)
Write the augmented matrix for the system of equations and solve the system. 2x–3y+2z=2 (answered by jim_thompson5910)
solve the augmented matrix for a three-equation system in three unknowns x, y, z. 3... (answered by robertb)
Write the system of linear equations represented by the augmented matrix. Use x,y,z and, (answered by fractalier)
solve for x... (answered by jim_thompson5910)
Write the system of linear equations represented by the following matrix. Use x, y, & z... (answered by jim_thompson5910)
solvex,y,z using matrix 3x-4y-z=-1 x=y-z=-2 (answered by MathLover1)