What is the determinant of this matrix:

Mathematics

2 answers:

melisa1 [442]1 year ago

7 0

$\\ \rm\Rrightarrow \left|\begin{array}{ccc}0 &8 \\ 7& 0\end{array}\right|$

$\\ \rm\Rrightarrow 0-8(7)$

$\\ \rm\Rrightarrow 0-56$

$\\ \rm\Rrightarrow -56$

vodka [1.7K]1 year ago

6 0

Answer:

-56

Step-by-step explanation:

Formula to get determinant is::

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc$

0(0)-8(7)

0 - 56

-56

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Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
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Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
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x
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y
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x
=
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−
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x
(Add -3x to both sides)
−
y
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x
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−
y
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(Divide both sides by -1)
y
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−
21
Step: Substitute
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2
x
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2
x
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5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
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17
x
=
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17
x
17
=
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(Divide both sides by 17)
x
=
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Step: Substitute
6
for
x
in
y
=
3
x
−
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:
y
=
3
x
−
21
y
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(
3
)
(
6
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−
21
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=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
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