class 12th mathematics chapter matrices PYQ's of BOARD examination|| most important 20 questions || all topics covered

Class 12 CBSE Matrices – Previous Year Questions

1. Find the inverse of (2019)
[ 2 1 ]
[ 5 3 ]


2. If A = [1 2; 3 4], find A² − 5A + 2I. (2020)


3. Find the transpose of (2018)
[ 1 -2 3 ]
[ 4 0 5 ]


4. Show that the matrix is skew-symmetric (2017)
[ 0 2 ]
[ -2 0 ]


5. If A = (2016)
[ 1 2 ]
[ 2 1 ]
Find A²


6. Find the determinant of (2021)
[ 3 1 ]
[ 2 4 ]


7. If [ x 1 ; 2 y ] = [ 3 1 ; 2 5 ], find x and y. (2015)


8. Find AB if A = [1 0; 2 1] and B = [3 2; 1 4]. (2022)


9. Verify that (A■)■ = A for A = [2 3; 1 5]. (2014)


10. Find the inverse of (2023)
[ 4 7 ]
[ 2 6 ]


11. If A = (2018)
[ 2 -1 ]
[ 1 3 ]
Find |A|


12. Find the value of k for which (2020)
[ k 2 ]
[ 3 4 ]
is singular.


13. Find A + B if A = [1 3; 2 4] and B = [5 1; 0 2]. (2017)


14. If A = (2021)