# Hk Dass Linear Algebra

409 views
Test the consistency of the following system of equations

$5x + 3y + 7z = 4$

$3x + 26y + 2z = 9$

$7x + 2y + 10z = 5$
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consistent.

1 vote

we will use matrix to solve this :so we will have infinite solution..(consistent solution)

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arvin  iz gawd

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@magma ni ni bro its just good practice with few good questions :)
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Sahi hai bro

Practice
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yes :p
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here rank(A) is not equal to  rank (AB)............so it's inconsistent
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*That β66β in the image is β00β.

## Related questions

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175 views
Test the consistency of the following system of equations and solve if possible $3x + 3y +2z = 1$ $x + 2y = 4$ $10y + 3z = -2$ $2x - 3y -z = 5$
1 vote
For what values of $\lambda$ the system of equations will have $2$ linear independent solutions - $x + y + z = 0$ $(\lambda + 1) y + (\lambda + 1) z = 0$ ($\lambda^{2}- 1) z = 0$ Now the problem i'm facing is if there is $2$ Linear ... rank of matrix will be $1$. Can anyone please explain in simple why the rank of matrix should be $1$ if we need $2$ Linear Independent solution. Thankyou.