Mathematics
Types of matrices
आव्यूहों के प्रकार
In Class 12 Mathematics, this topic introduces the main types of matrices covered in the Matrix chapter. Students learn to identify and distinguish row, column, rectangular, square, zero, diagonal, scalar, identity, upper triangular, lower triangular, symmetric and skew-symmetric matrices by examining their order and entries. They also practise expressing matrices in standard forms, checking defining conditions, and understanding how these classifications support later work with matrix operations, determinants and linear equations.
Practice questions
What type of matrix is \(C=\begin{bmatrix}4 & 5 & 6\end{bmatrix}\)?What type of matrix is \(O=\begin{bmatrix}0&0\\0&0\end{bmatrix}\)?Which of the following matrices is a rectangular matrix?What type of matrix is \(A=\begin{bmatrix}2&0\\0&3\end{bmatrix}\)?What type of matrix is \(A=\begin{bmatrix}2&0&0\\0&3&0\\0&0&4\end{bmatrix}\)?What is the matrix I = \begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\end{bmatrix} called?In which type of matrix are all main diagonal entries equal and all other entries zero?In which matrix are all main diagonal elements equal to 1 and all other elements equal to 0?Which of the following is the 2×2 zero matrix?Which option is the \(2\times2\) identity matrix?If \(A=\begin{bmatrix}3&0\\0&3\end{bmatrix}\), which statement is correct?