MATRICES MATHEMATICS FORM 5

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 'rows x columns'. For example, a matrix with 3 rows and 2 columns is said to be of order 3 x 2.

Front

How do you multiply two matrices?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have the number of rows of the first matrix and the number of columns of the second matrix.

Front

How many columns are in a 5 x 4 matrix?

Back

A 5 x 4 matrix has 4 columns.

Front

Can two matrices be multiplied if their dimensions are 3 x 2 and 2 x 4?

Back

Yes, these matrices can be multiplied because the number of columns in the first matrix (2) matches the number of rows in the second matrix (2).

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all the elements are zero. It can be of any order, such as 2 x 2, 3 x 3, etc.

Front

What is the identity matrix?

Back

An identity matrix is a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. For example, the 2 x 2 identity matrix is [[1, 0], [0, 1]].

Front

What is the determinant of a 2 x 2 matrix?

Back

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

Front

What is a transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows with its columns. For example, the transpose of [[1, 2], [3, 4]] is [[1, 3], [2, 4]].

Front

What is a scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each element of a matrix by a scalar (a constant number). For example, if k is a scalar and A is a matrix, then kA is obtained by multiplying each element of A by k.

Front

What is a row echelon form?

Back

A matrix is in row echelon form if all non-zero rows are above any rows of all zeros, and the leading coefficient of a non-zero row is always to the right of the leading coefficient of the previous row.