3 and 4 . determinant and metrices - Gujarat Board (GSEB) STD 12 Science Maths Questions

1,051

Questions

1

Question groups

5

Question types

01

M.C.Q (1 Marks)

1,051 Q→

Sample Questions

3 and 4 . determinant and metrices questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

If $A = \left[ {\begin{array}{*{20}{c}}{\cos \alpha }&{ - \sin \alpha }\\{\sin \alpha }&{\cos \alpha }\end{array}} \right]$and $B = \left[ {\begin{array}{*{20}{c}}{\cos \beta }&{ - \sin \beta }\\{\sin \beta }&{\cos \beta }\end{array}} \right]$, then the correct relation is

A
${A^2} = {B^2}$
B
$A + B = B - A$
✓
$AB = BA$
D
None of these

Answer: C.

View full solution →

Q 2M.C.Q (1 Marks)1 Mark

If $A = \left[ {\begin{array}{*{20}{c}}{ab}&{{b^2}}\\{ - {a^2}}&{ - ab}\end{array}} \right]$ and ${A^n} = O$, then the minimum value of $n$ is

✓
$2$
B
$3$
C
$4$
D
$5$

Answer: A.

View full solution →

Q 3M.C.Q (1 Marks)1 Mark

If $A = dig(2, - 1,\,3),B = dig( - 1,\,3,\,2)$, then ${A^2}B = $

A
$dig\ (5, 4, 11)$
✓
$dig\ (-4, 3, 18)$
C
$dig\ (3, 1, 8 )$
D
$B$

Answer: B.

View full solution →

Q 4M.C.Q (1 Marks)1 Mark

If $A$ and $B$ are two matrices such that $AB = B$ and $BA = A,$ then ${A^2} + {B^2} = $

A
$2AB$
B
$2BA$
✓
$A + B$
D
$AB$

Answer: C.

View full solution →

Q 5M.C.Q (1 Marks)1 Mark

If $U = [2\, - 3\,\,4],X = [0\,\,2\,\,3],$ $V = \left[ \begin{array}{l}3\\2\\1\end{array} \right]$ and $Y = \left[ \begin{array}{l}2\\2\\4\end{array} \right]$, then $UV + XY$=

A
$20$
B
$[-20]$
C
$- 20$
✓
$[20]$

Answer: D.

View full solution →

Browse all question groups ↑

Generate Paper Free All Maths chapters

3 and 4 . determinant and metrices question types

3 and 4 . determinant and metrices questions

Generate a 3 and 4 . determinant and metrices paper free

3 and 4 . determinant and metrices Maths - 3 and 4 . determinant and metrices

3 and 4 . determinant and metrices question types

3 and 4 . determinant and metrices questions

Generate a 3 and 4 . determinant and metrices paper free