#Solve the system linear equations

32 messages · Page 1 of 1 (latest)

ocean lodgeBOT
#
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ripe valve
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Yes, you should use matrices..

near nacelle
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but how should i do that?

near nacelle
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This is my solution, I would really appreciate if someone can take a look to tell me if its correct:

20250222_131348.jpg
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It's just for A)

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Oh, I made a slightly mistake, here is the fixed one:

20250222_132330.jpg
ripe valve
near nacelle
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Seems correct, is my approach alright tho?

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Is it messy or unclear?

ripe valve
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seems fine, you just used Cramer's rule

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what you wrote for finding det(A) is weird imo

near nacelle
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Oh? What exactly?

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Also, about Б), I am getting X=(4/7, 6/7, 2/7), but when I check the answer, it says that there are no solutions?

ripe valve
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I mean, the implication arrow is weird

ripe valve
near nacelle
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Can I send my solution?

ripe valve
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Im not going to check your work, just check with a calculator

near nacelle
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If there is nothing for x2 on row 2 like it is in this case, do I just write 0 in the matrix?

ripe valve
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But yeah, det(A) for that is 0

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so Cramer's rule isn't applicable

near nacelle
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Oh yes, solved det(A) again and it's indeed zero

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I apologise, I'll check my answers twice before asking anything

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What should be done when the det(A) is zero, since we can't use the Cramer's rule? It means it either has countless solutions, or no solutions, how do I determinate which one is the case?

ripe valve
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solve with row operations like usual

near nacelle
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Alright, solved this as well

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About the last one, by the definition in my textbook, if the number of undefined elements is greater than the number of independent equations, then the system has countless solutions

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Is this true for В)? Is that all here?

near nacelle
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Nvm, solved it. Thanks for the help!

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+close

dense moatBOT
# near nacelle +close
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dense moatBOT
# dense moat

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