Operations with Matrices

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the matrices must be equal.

Front

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

Back

The result is another 2x2 matrix.

Front

What is the definition of a matrix?

Back

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

Front

What is the identity matrix for 2x2 matrices?

Back

The identity matrix is [[1, 0], [0, 1]].

Front

How do you find the element in the second row, third column of a matrix?

Back

Locate the second row and then the third column to find the specific element.

Front

What is the result of adding two matrices of dimensions 2x2?

Back

The result is a new 2x2 matrix where each element is the sum of the corresponding elements of the two matrices.

Front

What is the formula for matrix multiplication?

Back

For two matrices A (m x n) and B (n x p), the product C = AB is an m x p matrix where each element C[i][j] is the sum of A[i][k] * B[k][j] for k from 1 to n.

Front

What is a scalar in the context of matrices?

Back

A scalar is a single number that can multiply a matrix, affecting each element of the matrix.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

Front

What is the determinant of a 2x2 matrix?

Back

For a matrix [[a, b], [c, d]], the determinant is ad - bc.