Matrices and Determinants PYQs - Last 10 Years
WB JEE / Mathematics / Algebra / 59 recent questions
MathematicsAlgebra2017-2026
Practice 59 WB JEE Mathematics questions from Matrices and Determinants. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
59
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Mathematics / Algebra
2017-2026
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28
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2022-2026
59
Last 10 Years
2017-2026
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59PYQs
MCQ89.8%
MCQM10.2%
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28 in last 5 years59 in last 10 years
Last 10 Years Matrices and Determinants Questions
Showing 9 of 59 filtered questions.
1Matrices And Determinants
In a third order matrix A, aij denotes the element in the ith row and jth column. If aij = 0 for i = j= 1 for i > j= \(-\) 1 for i < jThen the matrix is
MCQM+2 / -02018
2Matrices And Determinants
If the following three linear equations have a non-trivial solution, thenx + 4ay + az = 0x + 3by + bz = 0x + 2cy + cz = 0
MCQ+1 / -0.252018
3Matrices And Determinants
If \({S_r} = \left| {\matrix{
{2r} & x & {n(n + 1)} \cr
{6{r^2} - 1} & y & {{n^2}(2n + 3)} \cr
{4{r^3} - 2nr} & z & {{n^3}(n + 1)} \cr
} } \right|\), then the value of \(\sum\limits_{r = 1}^n {{S_r}}\) is independent of
MCQ+1 / -0.252018
4Matrices And Determinants
The linear system of equations\(\left. \matrix{
8x - 3y - 5z = 0 \hfill \cr
5x - 8y + 3z = 0 \hfill \cr
3x + 5y - 8z = 0 \hfill \cr} \right\}\) has
MCQ+1 / -0.252017
5Matrices And Determinants
The value of det A, where \(A\, = \left( {\matrix{
1 & {\cos \theta } & 0 \cr
{ - \cos \theta } & 1 & {\cos \theta } \cr
{ - 1} & { - \cos \theta } & 1 \cr
} } \right)\), lies
MCQ+1 / -0.252017
6Matrices And Determinants
Let \(A = \left( {\matrix{
1 & 1 & 1 \cr
0 & 1 & 1 \cr
0 & 0 & 1 \cr
} } \right)\). Then, for positive integer n, An is
MCQ+2 / -0.52017
7Matrices And Determinants
Let P be the set of all non-singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 over R. Then,
MCQ+1 / -0.252017
8Matrices And Determinants
Let \(A = \left( {\matrix{
{x + 2} & {3x} \cr
3 & {x + 2} \cr
} } \right),\,B = \left( {\matrix{
x & 0 \cr
5 & {x + 2} \cr
} } \right)\). Then all solutions of the equation det (AB) = 0 is
MCQ+1 / -0.252017
9Matrices And Determinants
Let a, b, c be such that b(a + c) \(\ne\) 0. If $$\left| {\matrix{
a & {a + 1} & {a - 1} \cr
{ - b} & {b + 1} & {b - 1} \cr
c & {c - 1} & {c + 1} \cr
} } \right| + \left| {\matrix{
{a + 1} & {b + 1} & {c - 1} \cr
...
a & {a + 1} & {a - 1} \cr
{ - b} & {b + 1} & {b - 1} \cr
c & {c - 1} & {c + 1} \cr
} } \right| + \left| {\matrix{
{a + 1} & {b + 1} & {c - 1} \cr
...
MCQ+2 / -0.52017