GRE Subject Test: Math : Linear Algebra

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

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Example Question #1 : Linear Algebra

Perform the following operation.

  

Possible Answers:

Correct answer:

Explanation:

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 #1 : Linear Algebra

Perform the following operation.

Possible Answers:

Correct answer:

Explanation:

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 #1 : Matrices

Find the inverse of the following matrix, if possible. 

Possible Answers:

The inverse does not exist.

Correct answer:

Explanation:

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 : Linear Algebra

Find the inverse of the following matrix, if possible. 

Possible Answers:

The inverse does not exist.

Correct answer:

Explanation:

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 : Inverse Functions

Find the inverse of the function.

 

Possible Answers:

Correct answer:

Explanation:

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 #4 : Inverse Functions

Find the inverse of the function .

Possible Answers:

Correct answer:

Explanation:

To find the inverse of , interchange the  and  terms and solve for .

Example Question #1 : Inverse Functions

Find the inverse of the following equation.

.

Possible Answers:

Correct answer:

Explanation:

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 #1 : Linear Algebra

Find the inverse of the following function.

Possible Answers:

Correct answer:

Explanation:

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 #91 : Functions

Find the inverse of the following function.

Possible Answers:

Does not exist

Correct answer:

Explanation:

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 #1221 : Pre Calculus

Find the inverse of the function.

Possible Answers:

Correct answer:

Explanation:

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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