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ra1l [238]
3 years ago
10

A is a 3x3 matrix with det(A) = 4. Find det(adj(A)).

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

The value of det(adj(A)) is 16.

Step-by-step explanation:

It is given that A is a 3x3 matrix with det(A) = 4.

We need to find the value of det(adj(A)).

We have a formula

det(adj(A))=(det(A))^{n-1}

where, n is order of the square matrix.

Substitute det(A) = 4 and n=3 in the above formula.

det(adj(A))=(4)^{3-1}

det(adj(A))=(4)^{2}

det(adj(A))=16

Therefore, the value of det(adj(A)) is 16.

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monitta

Answer:

The points which satisfy the given lines is ( 1 , 1 )  

Step-by-step explanation:

Given as :

The equation of lines is

y = 3 x - 2         ........    1  And

y = - 2 x + 3      ........ 2

From equation given

3 x - 2 = - 2 x + 3

Or , 3 x + 2 x = 3 +2

Or,   5 x = 5

So ,     x = \frac{5}{5} = 1

Put the value of x in eq 1

So, y = 3 ( 1 ) - 2

Or, y = 3 - 2 = 1

∴,  the points ( x , y ) = ( 1 , 1 )

Hence The points which satisfy the given lines is ( 1 , 1 )  Answer

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3 years ago
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Answer:

78.5

Step-by-step explanation:

3.14*5*5=78.5

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How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
2 years ago
6x-1=11 solve equation
marin [14]

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

5 0
3 years ago
Read 2 more answers
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