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Sonja [21]
3 years ago
5

What is the determinant of matrix |-8|?​

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Given:

The matrix is [-8].

To find:

The determinant of given matrix, i.e, |-8|.

Solution:

If a matrix is A of order 1\times 1, then the value of the determinant of that matrix is equal to the element of that matrix.

For example: Let A be the matrix of order 1\times 1.

A=[a]

Then,

|A|=a

The given matrix is [-8]. So, the  determinant of given matrix, i.e, |-8|, is

|-8|=-8

Therefore, the value of determinant of given matrix is -8.

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We have the equation

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\begin{gathered} y=-2-5 \\  \\ y=-7 \end{gathered}

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

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