Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, 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' where m is the number of rows and n is the number of columns.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same order.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix, and the resulting matrix's order is determined by the outer dimensions.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted as I.

Front

What is the determinant of a matrix?

Back

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

Front

How do you calculate the determinant of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

Front

What is an inverse matrix?

Back

An inverse matrix A^-1 is a matrix that, when multiplied by the original matrix A, yields the identity matrix.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

What is a transpose of a matrix?

Back

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