Matrices Row Reduction

When solving an augmented matrix using row reduction operations, which of the following operations are allowed?

• switching any two rows

• multiplying a row by a non-zero constant

• replacing a row with a combination of operations to two rows

• ALL of these are acceptable

Which option below correctly shows the steps to find the inverse of this matrix?

• 
• 
• 
• No Inverse Exists

Will this matrix have an inverse?

• Yes

• No

• Unable to Determine

_____________ is an algorithm to solve a system of linear equations by representing it as an augmented matrix, reducing it using row operations, and expressing the system in reduced row-echelon form to find the values of the variables.

• Gauss-Jordan Reduction Theory

• Gauss-Jordan Reduction Principle

• Gauss-Jordan Law

• Gauss-Jordan Reduction Method

Interchanging of rows is not allowed in elementary row of operations of matrices.

• True

• False

This is an example of

• Row Echelon Form

• Reduced Row Echelon Form

• Really Reduced Echelon Form

• Really Really Easy Form

What is the solution to the augmented matrix?

• (3,6,2)

• (3,-5,3)

• (5,5,3)

• ((5/9), (105/9), (-23/9))

• (3, 9 -1)

• (0, 3, 7)

• All Real Numbers

• No Solution

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• A Canine Doing a Backflip

What is the solution to the systems of equations represented by the 3x4 Matrix?

• (4, 6, 2)

• (-6, 2, 2)

• All Real Numbers

• No Solutions