Matrices and Determinants · Mathematics · BITSAT
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BITSAT 2022
Given 2x $$-$$ y + 2z = 2, x $$-$$ 2y - z = $$-$$4, x + y + $$\lambda$$z = 4, then the value of $$\lambda$$ such that the given system of equation has...
BITSAT 2022
Let $$A = \left[ {\matrix{
1 & { - 1} & 1 \cr
2 & 1 & { - 3} \cr
1 & 1 & 1 \cr
} } \right]$$ and $$10B = \left[ {\matrix{
4 & 2 & ...
BITSAT 2022
If $$\left[ {\matrix{
1 & { - \tan \theta } \cr
{\tan \theta } & 1 \cr
} } \right]{\left[ {\matrix{
1 & {\tan \theta } \cr
{ - \ta...
BITSAT 2022
If p $$\ne$$ a, q $$\ne$$ b, r $$\ne$$ c and the system of equations
px + ay + az = 0
bx + qy + bz = 0
cx + cy + rz = 0
has a non-trivial solution, th...
BITSAT 2021
If p$$\ne$$ q $$\ne$$ r and $$\left| {\matrix{
0 & {x - p} & {x - q} \cr
{x + p} & 0 & {x - r} \cr
{x + q} & {x - r} & 0 \cr
} } \rig...
BITSAT 2021
Matrix $$A = \left| {\matrix{
x & 3 & 2 \cr
1 & y & 4 \cr
2 & 2 & z \cr
} } \right|$$, if xyz = 60 and 8x + 4y + 3z = 20, then A(adj ...
BITSAT 2020
An ordered pair ($$\alpha$$, $$\beta$$) for which the system of linear $$(1 + \alpha )x + \beta y + z = 2$$, $$\alpha x + (1 + \beta )y + z = 3$$, $$\...
BITSAT 2020
Consider matrix $$A = \left[ {\matrix{
2 & 1 \cr
1 & 2 \cr
} } \right]$$, if $${A^{ - 1}} = \alpha I + \beta A$$, where $$\alpha$$, $$\bet...