Matrix Operations

Front

What is a Matrix?

Back

A set of numbers arranged in rows and columns.

Front

What is the result of adding two matrices?

Back

The sum of two matrices is obtained by adding their corresponding elements.

Front

What is scalar multiplication in matrix operations?

Back

Multiply every element of the matrix by the scalar to create a new matrix.

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 condition for two matrices to be added?

Back

They must have the same dimensions (same number of rows and columns).

Front

What is the result of multiplying a matrix by a zero matrix?

Back

The result is a zero matrix of the same dimensions as the original 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.

Front

What is the identity matrix?

Back

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

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is a matrix B such that AB = BA = I, where I is the identity matrix.