Request a call back

Join NOW to get access to exclusive study material for best results

Class 12-science NCERT Solutions Maths Chapter 3 - Matrices

Matrices Exercise Ex. 3.1

Solution 1

Solution 2

Solution 3

Solution 4

Let A =

(i)

a11 =  ,

a12 =  ,

a21 =  ,

a22 =

Therefore, A =

(ii)

a11 =  ,

a12 =  ,

a21 =  ,

a22 =

Therefore, A =

(iii)

a11 =  ,

a12 =  ,

a21 =  ,

a22 =

Therefore, A =  . 

Solution 5

Solution 6


Solution 7

Solution 8

Solution 9

Solution 10

Matrices Exercise Ex. 3.2

Solution 1


Solution 2

Solution 3


(i) begin mathsize 12px style open square brackets table row straight a straight b row cell negative straight b end cell straight a end table close square brackets end stylebegin mathsize 12px style open square brackets table row straight a cell negative straight b end cell row straight b straight a end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell straight a squared plus straight b squared end cell cell negative ab plus ab end cell row cell negative ab plus ab end cell cell straight b squared plus straight a squared end cell end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell straight a squared plus straight b squared end cell 0 row 0 cell straight a squared plus straight b squared end cell end table close square brackets end style

ii)begin mathsize 12px style open square brackets table row 1 row 2 row 3 end table close square brackets open square brackets table row 2 3 4 end table close square brackets end style

begin mathsize 12px style equals open square brackets table row 2 3 4 row 4 6 8 row 6 9 12 end table close square brackets end style

iii)begin mathsize 12px style open square brackets table row 1 cell negative 2 end cell row 2 3 end table close square brackets space open square brackets table row 1 2 3 row 2 3 1 end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell 1 minus 4 end cell cell 2 minus 6 end cell cell 3 minus 2 end cell row cell 2 plus 6 end cell cell 4 plus 9 end cell cell 6 plus 3 end cell end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell negative 3 end cell cell negative 4 end cell 1 row 8 13 9 end table close square brackets end style

iv)begin mathsize 12px style open square brackets table row 2 3 4 row 3 4 5 row 4 5 6 end table close square brackets space space open square brackets table row 1 cell negative 3 end cell 5 row 0 2 4 row 3 0 5 end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell 2 plus 0 plus 12 end cell cell negative 6 plus 6 plus 0 end cell cell 10 plus 12 plus 20 end cell row cell 3 plus 0 plus 15 end cell cell negative 9 plus 8 plus 0 end cell cell 15 plus 16 plus 25 end cell row cell 4 plus 0 plus 18 end cell cell negative 12 plus 10 plus 0 end cell cell 20 plus 20 plus 30 end cell end table close square brackets end style

begin mathsize 12px style equals open square brackets table row 14 0 42 row 18 cell negative 1 end cell 56 row 22 cell negative 2 end cell 70 end table close square brackets end style

v)begin mathsize 12px style open square brackets table row 2 1 row 3 2 row cell negative 1 end cell 1 end table close square brackets open square brackets table row 1 0 1 row cell negative 1 end cell 2 1 end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell 2 minus 1 end cell cell 0 plus 2 end cell cell 2 plus 1 end cell row cell 3 minus 2 end cell cell 0 plus 4 end cell cell 3 plus 2 end cell row cell negative 1 minus 1 end cell cell negative 0 plus 2 end cell cell negative 1 plus 1 end cell end table close square brackets end style

begin mathsize 12px style equals open square brackets table row 1 2 3 row 1 4 5 row cell negative 2 end cell 2 0 end table close square brackets end style

vi)begin mathsize 12px style open square brackets table row 3 cell negative 1 end cell 3 row cell negative 1 end cell 0 2 end table close square brackets open square brackets table row 2 cell negative 3 end cell row 1 0 row 3 1 end table close square brackets end style

begin mathsize 12px style equals open square brackets table row cell 6 minus 1 plus 9 end cell cell negative 9 plus 0 plus 3 end cell row cell negative 2 plus 0 plus 6 end cell cell 3 plus 0 plus 2 end cell end table close square brackets end style

begin mathsize 12px style equals open square brackets table row 14 cell negative 6 end cell row 4 5 end table close square brackets end style

Solution 4



Solution 5


Solution 6

Solution 7

 

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15


Solution 16


Solution 17

Solution 18


Solution 19


Solution 20

Solution 21

Solution 22

Matrices Exercise Ex. 3.3

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6(i)

Solution 6(ii)


Solution 7

Solution 8

Solution 9

Solution 10



Solution 11

Solution 12

Matrices Exercise Ex. 3.4

Solution 1

Matrices Exercise Misc. Ex.

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

\

Solution 8


Solution 9

Solution 10

Solution 11

Get Latest Study Material for Academic year 24-25 Click here
×