Unit 2 - System of Equations and Inequalities

Front

What is the condition for multiplying two matrices?

Back

You can multiply two matrices if the number of columns in the first matrix equals the number of rows in the second matrix.

Front

What is the solution to the system of equations represented by the matrix (1, -2, 6)?

Back

The solution to the system of equations is (1, -2, 6).

Front

When does a square matrix not have an inverse?

Back

A square matrix does not have an inverse when its determinant is 0.

Front

What must be true for two matrices to be added together?

Back

Two matrices can be added together if they are of the same dimensions.

Front

What is the result of multiplying a 2 x 2 matrix by its inverse?

Back

The result is the identity matrix.

Front

Define a matrix.

Back

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

Front

What is a determinant in relation to a matrix?

Back

The determinant is a scalar value that is a function of the entries of a square matrix, providing important properties of the matrix.

Front

What is an identity matrix?

Back

An identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere.

Front

What is the main diagonal of a matrix?

Back

The main diagonal of a matrix consists of the elements from the top left to the bottom right.

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A^-1, such that A * A^-1 = I, where I is the identity matrix.