Introduction to matrices

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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.

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1. If \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\), which is the second row?Easy · Level 34 · matrices,rows,linear-algebra,identification,matrix-elements

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(1,2,3)
(4,5,6)
(1,4)
(3,6)

2. If \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\), which is the third column of A?Easy · Level 34 · matrices,columns,column-vector,matrix-indexing,2x3-matrix

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\(\begin{pmatrix}1\\4\end{pmatrix}\)
\(\begin{pmatrix}2\\5\end{pmatrix}\)
\(\begin{pmatrix}3\\6\end{pmatrix}\)
\(\begin{pmatrix}4\\5\\6\end{pmatrix}\)

3. If (A=[a_{ij}]*{2\times2}) and (a*{ij}=0) for all (i,j), what type of matrix is (A)?Easy · Level 34 · matrices,zero-matrix,definition

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Identity matrix
Zero matrix
Scalar matrix
Row matrix

4. 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)?Easy · Level 34 · matrices,identity-matrix,condition

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Zero matrix
Identity matrix
Row matrix
Rectangular matrix

5. What is the value of \(a_{22}\) in the matrix \(A=\begin{bmatrix}9&8\\7&6\end{bmatrix}\)?Easy · Level 34 · matrices,element-position,basic,indices,2x2

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Introduction to matrices

Quiz this set

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 \(A=\begin{bmatrix}9&8\\7&6\end{bmatrix}\)?

Quiz result

Introduction to matrices

Quiz this set

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 \(A=\begin{bmatrix}9&8\\7&6\end{bmatrix}\)?

Quiz result

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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)?