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A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral?

A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral? class=

Verified Answer :

Ckaranja

(-5,  2,  4,  7)
  0   8   -5  3

The co-ordinates are just rewritten in form of a column vector. This gives a  matrix of order 2x4

Answer:

The matrix that is the coordinate matrix of the given quadrilateral is:

\(A.\ \left[\begin{array}{cccc}-5&2&4&7\\0&8&-5&3\end{array}\right]\)

Step-by-step explanation:

We  know that the vertices of a quadrilateral are expressed in form of a matrix by placing the vertices along the column of a matrix.

i.e. the vertex A(-5,0) form the first column of a  matrix and similarly the vertex B form the second column of the matrix ; C from the third column of the matrix and D form the third column of the matrix.

          Hence, the answer is:

                      Matrix A

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