Get free access to over 100,000 answers and learning tools with WyzAnt!



Search 81,702 tutors
FIND TUTORS

Matrix Equality

Matrices can be equated to each other and this makes matrix algebra a very powerful tool in solving systems of equations. When matrices are equated, this implies that corresponding entries in the matrix are equal. For example, given the matrices A and B where:

and

A = B means that

a = w

b = x

c = y

d = z

Using row and column notation, A = B means that

An example of where this would apply is given below

Given that in the above matrices A = B, find the unknown variables x,y,z

solution:

Since we have been told that A = B, we know that the corresponding entries in A = B are equal, which means that:

The above example may seem trivial but this concept is very handy was we'll see later when solving more complicated systems of equations.

Don't wait until it's too late! Get help from our tutors.
Kermit A.
Contact Now

Message Kermit A.

Send Kermit A. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *
Vincent P.
Contact Now

Message Vincent P.

Send Vincent P. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *
Abby K.
Contact Now

Message Abby K.

Send Abby K. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *