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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

Respuesta :

carlosego
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:

Mateus created a square matrix.

Step-by-step 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:

[tex]\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][/tex]

Put values as per given, we get,

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

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.



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