Question

Mateus created a matrix using the elements below.

a11=32
a12=10
a13=-9
a21=5
a22=7.5
a23=4
a31=-0.5
a32=6
a33=16

What type of matrix did Mateus create?
a diagonal matrix
a square matrix
a zero matrix
an identity matrix

Answer 1

Mateus created in this case a matrix of
3 rows
3 columns
as the number of rows and columns are equal, then by definition we created a square matrix
answer
a square matrix

Answer 2

Mateus created a square matrix.

Explanation:

• Diagonal matrix are those matrix having non zero elements only on diagonal and rest all are zero.

• Square matrix are those having number of rows equal to number of columns.

• Zero matrix is a matrix having all elements equals to zero.

• Identity matrix are those matrix having one only on diagonal and rest all elements are zero.

Consider the given matrix:

`\left[\begin{array}{ccc}a_(11)&a_(12)&a_(13)\\a_(21)&a_(22)&a_(23)\\a_(31)&a_(32)&a_(33)\end{array}\right]`

Put values as per given, we get,

`\left[\begin{array}{ccc}32&10&-9\\5&7.5&4\\-0.5&6&16\end{array}\right]`

Since, the given matrix is not diagonal , zero and identity matrix.

It only has number of rows equal to number of columns.

Hence, it is SQUARE MATRIX.

Thus, Mateus created a square matrix.