Equal

Equal Matrices = Two matrices are equal iff they have the same dimensions and are identical, element by element.

Two Equal Matrices

So, A = B.

Solving for Variables

In the following equal matrices, we can find the value of x and y.

Since x and -1 are corresponding elements in equal matrices, x = -1.  Likewise, since 5 and y are corresponding elements in equal matrices, y = 5.

In the following equal matrices, we can find the value of w and z.

Since w² and 4 are corresponding elements in equal matrices, w = 2 and w = -2.
Likewise, since 5 and z/2 are corresponding elements in equal matrices, z = 10.

Solving for Variables Practice: Find the values of the variables given the equal matrices.

#1) Find the values of x and y.





#2) Find the values of w and z.

Homework

Solving for Variables

#1)  Find the values of x and y.

#2)  Find the values of x and y.

#3)  Find the values of x and y.

#4)  Find the values of x and y.

#5)  Find the values of x and y.

#6)  Find the values of x and y.

#7)  Find the values of x and y.

#8)  Find the values of x and y.

#9)  Find the values of x, y and z.

#10)  Find the values of x, y and z.

Answers Solving For Variables

#1) (-2, -1), (2, -1)
#2) (-2, -7)
#3) (-1, 1)
#4) (0, 4)
#5) (0, 3)
#6) (-2, 5)
#7) (5, 5)
#8) (-3, 1) 
#9) (7, -2, 0)
#10) (18, -37, 19)