Q2. Give examples of a row matrix, a... [FREE SOLUTION]

Chapter 4: Q2. (page 156)

Give examples of a row matrix, a column matrix, a square matrix, and a zero matrix. State the dimension of each matrix.

Short Answer

Expert verified

Following are the examples of a row matrix, a column matrix, a square matrix and a zero matrix and their dimensions respectively-

$A = [\begin{matrix} 1 & 2 & 3 \end{matrix}]$ , dimension $1 脳 3$

localid="1648718907352" $A = [\begin{matrix} 1 \\ 2 \\ 3 \end{matrix}]$ , dimension localid="1648719066213" $3 脳 1$

localid="1648718913925" $A = [\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$ , dimension localid="1648719069897" $2 脳 2$

localid="1648718923532" $A = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}]$ , dimension localid="1648719073313" $2 脳 2$

Step by step solution

– Example of a row matrix.

Give an example of row matrix and dimension of a matrix.

$A = [\begin{matrix} 1 & 2 & 3 \end{matrix}]$

The matrix $A$ has $1$ row and $3$ columns, the dimensions of matrix $A$ are $1 脳 3$ .

– Example of a column matrix.

Give an example of column matrix and dimension of a matrix.

$A = [\begin{matrix} 1 \\ 2 \\ 3 \end{matrix}]$

The matrix $A$ has $3$ rows and $1$ column, the dimensions of matrix $A$ are $3 脳 1$ .

– Example of a square matrix.

Give an example of square matrix and dimension of a matrix.

$A = [\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$

The matrix $A$ has $2$ rows and $2$ columns, the dimensions of matrix $A$ are $2 脳 2$ .

– Example of a zero matrix.

Give an example of zero matrix and dimension of a matrix.

$A = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}]$

The matrix $A$ has $2$ rows and $2$ columns, the dimensions of matrix $A$ are $2 脳 2$ .

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91影视

Give examples of a row matrix, a column matrix, a square matrix, and a zero matrix. State the dimension of each matrix.

Short Answer

Step by step solution

– Example of a row matrix.

– Example of a column matrix.

– Example of a square matrix.

– Example of a zero matrix.

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