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 : Linear Algebra
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 #3 : 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 #4 : 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.
Using the given information we are able to find the inverse matrix.
Example Question #2 : Linear Algebra
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 #3 : Inverse Functions
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 #2 : Find The Inverse Of A Function
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 #5 : Find The Inverse Of A Function
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 : Find The Inverse Of A Function
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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