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least square solution of : $(2,-3,-2)^T x = (3,7,1)^T$
To find the least square solution of : $$(2,-3,-2)^T x = (3,7,1)^T$$ The system is of the form $Ax=b$, where $A = (2,-3,-2)^T$ and $b = (3,7,1)^T$. So the least square solution is given by $$hat x = (A^TA)^{-1}A^Tb = (17)^{-1}times-17 = -1$$
Is the solution correct?
linear-algebra matrices
asked Nov 20 '18 at 2:37
user8795
5,61961947
add a comment |
To find the least square solution of : $$(2,-3,-2)^T x = (3,7,1)^T$$ The system is of the form $Ax=b$, where $A = (2,-3,-2)^T$ and $b = (3,7,1)^T$. So the least square solution is given by $$hat x = (A^TA)^{-1}A^Tb = (17)^{-1}times-17 = -1$$
Is the solution correct?
linear-algebra matrices
asked Nov 20 '18 at 2:37
user8795
5,61961947
Why do you think it would not be correct?
– durdi
Nov 20 '18 at 10:37
add a comment |
To find the least square solution of : $$(2,-3,-2)^T x = (3,7,1)^T$$ The system is of the form $Ax=b$, where $A = (2,-3,-2)^T$ and $b = (3,7,1)^T$. So the least square solution is given by $$hat x = (A^TA)^{-1}A^Tb = (17)^{-1}times-17 = -1$$
Is the solution correct?
linear-algebra matrices
asked Nov 20 '18 at 2:37
user8795
5,61961947
To find the least square solution of : $$(2,-3,-2)^T x = (3,7,1)^T$$ The system is of the form $Ax=b$, where $A = (2,-3,-2)^T$ and $b = (3,7,1)^T$. So the least square solution is given by $$hat x = (A^TA)^{-1}A^Tb = (17)^{-1}times-17 = -1$$
Is the solution correct?
linear-algebra matrices
linear-algebra matrices
asked Nov 20 '18 at 2:37
user8795
5,61961947
asked Nov 20 '18 at 2:37
user8795
5,61961947
asked Nov 20 '18 at 2:37
user8795
5,61961947
asked Nov 20 '18 at 2:37
user8795
5,61961947
asked Nov 20 '18 at 2:37
user8795
5,61961947
5,61961947
Why do you think it would not be correct?
– durdi
Nov 20 '18 at 10:37
add a comment |
Why do you think it would not be correct?
– durdi
Nov 20 '18 at 10:37
Why do you think it would not be correct?
– durdi
Nov 20 '18 at 10:37
Why do you think it would not be correct?
– durdi
Nov 20 '18 at 10:37
add a comment |
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Why do you think it would not be correct?
– durdi
Nov 20 '18 at 10:37