search
Log In
0 votes
351 views

 

in Linear Algebra 351 views
0
A little hint will also suffice

1 Answer

1 vote
 
Best answer

...........


selected by
0
Sir in unique solution case if lambda and micro aren't equal to 5 and 9 then the rank of both will be 3 right ?

Sir when we calculate rank and say I reduce the matrix to upper triangular matrix then the rank will always be n ?
0

 For a unique solution case, if $\lambda\neq5 $, is enough, it does not depend on the $\mu.$

for this case $\mu=9$ or $\mu\neq9$ it doesn't matter in case of a unique solution.Because when $\lambda\neq5$,rank of (A)=3 and rank(A:B) is also $3$.

Rank=Maximum Number of independent Rows/Columns.

Rank=Dimension(Order)-Nullity.

Related questions

0 votes
0 answers
1
190 views
My solution:- Since the Determinant of matrix is Zero. So it will posses non trivial solution. Now what should be the answer ? According to me Option D as rank is < Order so infinite number of solutions
asked Oct 25, 2018 in Linear Algebra Na462 190 views
1 vote
2 answers
2
414 views
Let AX=B be a system of n linear equations in n unknown with integer coefficient and the components of B are all integer. Consider the following (1)det(A)=1 (2)det(A)=0 (3)Solution X has integer entries (4)Solution X does not have all integer entries For the given system of linear ... 1, then 3 holds true (c)If 1, then 4 holds true (d)If 2, then 3 holds true I think (d) should be the answer.
asked Nov 15, 2018 in Linear Algebra Ayush Upadhyaya 414 views
0 votes
1 answer
3
175 views
Test the consistency of the following system of equations and solve if possible $3x + 3y +2z = 1$ $x + 2y = 4$ $10y + 3z = -2$ $2x - 3y -z = 5$
asked Sep 29, 2018 in Linear Algebra Mk Utkarsh 175 views
0 votes
3 answers
4
182 views
Consider the following system system of equations x1-2x3=0 x1-x2=0 2x1-2x2=0 No solution Infinite number of solutions Three solution unique solution
asked Nov 10, 2017 in Linear Algebra Parshu gate 182 views
...