Matrices And Determinants

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

1. A set of mn numbers (real or imaginary) arranged in the form of a rectangular array of m rows and n columns is called .
2. A matrix having only one row is called a matrix.
3. A matrix having only one column is called a matrix.
4. A matrix in which number of rows and columns are equal is called matrix.
5. A matrix whose all elements are zero is called matrix.
6. If A and B are two matrices of the same order, then A + B = B + A, the law is .
7. If A, B, C are three matrices of the same order, then (A + B) + C = A + (B + C), the law is .
8. The null matrix is the element for matrix addition, i.e. A + O = A = O + A.
9. A square matrix

A = [\begin{matrix} a_{i j} \end{matrix}]

is called a matrix if

A^{T} = A

.
10. A square matrix

A = [\begin{matrix} a_{i j} \end{matrix}]

is called a matrix if

A^{T} = - A

Matrices And Determinants

Gap-fill exercise