All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Linear Algebra
Perform the following operation.
The first step to solving this operation is to do the multiplication:
Once we have multiplied the matrices, we can perform the addition portion:
Example Question #2 : Matrices
Perform the following operation.
The first step is to solve whatever is in the parentheses, in this case it is addition:
We then substitute our solution into the parentheses:
Our next, and final step in this problem, is to carry out the multiplication:
Example Question #2 : Linear Algebra
Find the inverse of the following matrix, if possible.
The inverse does not exist.
Write the formula to find the inverse of a matrix.
Substituting in the given matrix we are able to find the inverse matrix.
Example Question #1 : Matrices
Find the inverse of the following matrix, if possible.
The inverse does not exist.
Write the formula to find the inverse of a matrix.
Using the given information we are able to find the inverse matrix.
Example Question #2 : Matrices
Find the inverse of the function.
To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Example Question #3 : Find The Inverse Of A Relation
Find the inverse of the function .
To find the inverse of , interchange the
and
terms and solve for
.
Example Question #1 : Find The Inverse Of A Function
Find the inverse of the following equation.
.
To find the inverse in this case, we need to switch our x and y variables and then solve for y.
Therefore,
becomes,
To solve for y we square both sides to get rid of the sqaure root.
We then subtract 2 from both sides and take the exponenetial of each side, leaving us with the final answer.
Example Question #4 : Matrices
Find the inverse of the following function.
To find the inverse of y, or
first switch your variables x and y in the equation.
Second, solve for the variable in the resulting equation.
Simplifying a number with 0 as the power, the inverse is
Example Question #181 : Algebra
Find the inverse of the following function.
Does not exist
To find the inverse of y, or
first switch your variables x and y in the equation.
Second, solve for the variable in the resulting equation.
And by setting each side of the equation as powers of base e,
Example Question #3 : Linear Algebra
Find the inverse of the function.
To find the inverse we need to switch the variables and then solve for y.
Switching the variables we get the following equation,
.
Now solve for y.
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All GRE Subject Test: Math Resources
