Mathematics
Introduction to matrices
आव्यूहों का परिचय
In this Class 12 Mathematics topic from the Matrix chapter, students are introduced to matrices as rectangular arrangements of numbers or expressions used to organise and represent information. They learn how to identify rows, columns, elements, and the order of a matrix, read standard notation, and distinguish common types such as row, column, square, zero, diagonal, and identity matrices. The topic builds the foundation for understanding matrix equality and later matrix operations.
Practice questions
If \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\), which is the second row?If \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\), which is the third column of A?If (A=[a_{ij}]*{2\times2}) and (a*{ij}=0) for all (i,j), what type of matrix is (A)?If (A=[a_{ij}]*{3\times3}), (a*{ij}=1) when (i=j), and (a_{ij}=0) when (i\ne j), what type of matrix is (A)?What is the value of \(a_{22}\) in the matrix \(A=\begin{bmatrix}9&8\\7&6\end{bmatrix}\)?