PC 6-1 to 6-3 Intro to Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the order of a matrix?

Back

The order of a matrix is defined by the number of rows and columns it contains, expressed as 'm x n'.

Front

What is a 2x3 matrix?

Back

A 2x3 matrix has 2 rows and 3 columns.

Front

Can you multiply a 2x3 matrix by a 3x12 matrix?

Back

Yes, you can multiply a 2x3 matrix by a 3x12 matrix because the number of columns in the first matrix (3) matches the number of rows in the second matrix (3).

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result will be a 2x2 matrix.

Front

What is back-substitution in solving systems of equations?

Back

Back-substitution is a method used to solve a system of equations by substituting known values back into the equations to find unknowns.

Front

What does REF stand for in matrix operations?

Back

REF stands for Row Echelon Form, a form of a matrix where all non-zero rows are above any rows of all zeros.

Front

What is the purpose of using a zero in a matrix?

Back

A zero is used in a matrix to represent a missing value or to maintain the structure of the matrix.

Front

What is the solution to the system represented by the matrix?

Back

The solution is the set of values that satisfy all equations in the system.

Front

How do you determine if a matrix is invertible?

Back

A matrix is invertible if its determinant is non-zero.