Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Matrices

Short Answer Type

Consider the following information regarding the number of men and women workers in three factories I. II and III

	Men Workers	Women Workers
I	30	25
II	25	31
III	27	26

Represent the above information in the form of a 3 x 2 matrix. What does the entry in the third row and second column represent ?

463 Views

In the matrix $straight A equals open square brackets table row 2 5 19 cell negative 7 end cell row 35 cell negative 2 end cell cell 5 over 12 end cell 12 row cell square root of 5 end cell 1 cell negative 5 end cell 17 end table close square brackets. space Write$

(i) The order of the matrix
(ii) The number of elements,
(iii) Write the elements a₁₃,a₂₁ a₃₃ a₂₄’ a₂₃

603 Views

If a matrix has 8 elements, what arc the possible orders it can have ?

212 Views

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

188 Views

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

163 Views

6. If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

157 Views

7. Construct a 3 x 3 matrix w'hose elements are giv en by a,1, = 2 i – 3 j

169 Views

8. Construct a 3 x 4 matrix whose elements are

a_{i j} = i +J

163 Views

9. Construct a 3 x 4 matrix whose elements are

a_{i j} = i –J

245 Views

10. Construct a 3 x 4 matrix whose elements are

a_{i j} = i.j

Let A = [ a_ii] be required 3 x 4 matrix where a_ij= i.j
_{$therefore space space space$}a₁₁ = 1 - 1 = 0, a₁₂ =1 - 2= - 1, a₁₃=1 - 3 = - 2, a₁₄ = 1 - 4 = -3
a₂₁ = 2 - 1 = 1, a₂₂ =2 - 2= 0, a₂₃=2 - 3 = -1, a₂₄ = 2 - 4 = - 2
a₃₁ = 3 - 1 = 2, a₃₂ =3 - 2, a₃₃=3 - 3 = 0, a₃₄ = 3 - 4 = - 1

$therefore space space space straight A equals open square brackets table row 0 cell negative 1 end cell cell negative 2 end cell cell negative 3 end cell row 1 0 cell negative 1 end cell cell negative 2 end cell row 2 1 0 cell negative 1 end cell end table close square brackets$

107 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

10. Construct a 3 x 4 matrix whose elements areai j = i.j

10. Construct a 3 x 4 matrix whose elements are

a_{i j} = i.j