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tekilochka [14]
3 years ago
15

What is "a" if B=is a singular matrix| 22 a​

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

The value of a=4

Step-by-step explanation:

Given the matrix

B=\begin{pmatrix}1\:&\:2\:\\ \:\:\:2\:&\:a\end{pmatrix}

  • A matrix is singular if its determinent is zero.

so solving the matrix B by taking its determinant to get the value a

\det \begin{pmatrix}1&2\\ 2&a\end{pmatrix}=0

as according to determinant formula

\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc

 1\cdot \:a-2\cdot \:2=0    

  a-4=0

   a=4          

Therefore, the value of a=4

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kevin wants to make a mixture that is 50% lemon juice and 50% lime juice how much 100% lesson juice should he add to a juice mix
fiasKO [112]

Answer:

Kevin must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.

Step-by-step explanation:

Given : Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. 100% lesson juice should he add to a juice mixture that is 40% lemon juice and 60% lime juice to make 6 gallons of the 50% lemon 50% lime juice mixture.

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