हिंदी

Construct a matrix A = = [aij]3×2 whose element aij is given by aij = i – 3j

Advertisements
Advertisements

प्रश्न

Construct a matrix A = [aij]3 × 2 whose element aij is given by

aij = i – 3j

योग
Advertisements

उत्तर

A = [aij]3 × 2 = `[("a"_11, "a"_12),("a"_21, "a"_22),("a"_31, "a"_32)]`

aij = i – 3j

∴ a11 = 1 – 3(1) = 1 – 3 = –2,

a12 = 1 – 3(2) = 1 – 6 = –5,

a21 = 2 – 3(1) = 2 – 3 = –1,

a22 = 2 – 3(2) = 2 – 6 = – 4

a31 = 3 – 3(1) = 3 – 3 = 0,

a32 = 3 – 3(2) = 3 – 6 = –3

∴ A = `[(-2, -5),(-1, -4),(0, -3)]`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८२]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
अध्याय 4 Determinants and Matrices
Exercise 4.4 | Q 1. (ii) | पृष्ठ ८२

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

State, whether the following statement is true or false. If false, give a reason.

The matrices A2 × 3 and B2 × 3 are conformable for subtraction.


State, whether the following statement is true or false. If false, give a reason.

Transpose of a 2 × 1 matrix is a 2 × 1 matrix.


Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`


If A = `[(8, -3)]` and B = `[(4, -5)]`; find B – A


If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find B + C


If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C


Find x and y from the given equations:

`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`


State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A . (B – C) = A . B – A . C


State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A2 – B2 = (A + B) (A – B)


If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – B + C


Classify the following matrix :

`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`


Find the values of x and y, if  `|(3"x" - "y"),(5)| = |(7) , ("x + y")|`


Find the values of a, b, c and d, if `|("a + 3b", 3"c" + "d"),(2"a" - "b" , "c" - 2"d")| = |(5 , 8),(3 , 5)|`


If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N


If P= (8,5),(7,2) find : P + Pt


Evaluate the following :

`|(1 , 1),(2 , 3)|  |(2 , 1),(1 , 4)|`


Evaluate the following :

`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`


Evaluate the following :

`|(2,1) ,(3,2),(1 , 1)|  |(1 , -2 , 1),(2 , 1 , 3)|` 


Evaluate the following :

`|(6 , 1),(3 , 1),(2 , 4)|  |(1 , -2 , 1),(2 , 1 , 3)|`


If A = `|(1,3),(3,2)|` and B = `|(-2,3),(-4,1)|`   find AB


If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|`  find BA


Let A = `|(3 , 2),(0 ,5)|` and B = `|(1 ,0),(1 ,2)|` , find (i) (A + B)(A - B)  (ii) A2 - B2 . Is (i) equal to (ii) ?


If A = `[(2, 3), (1, 2)], B = [(1, 0),(3, 1)]`, Find (AB)-1


Write the negation of the following statements :
(a) Radha likes tea or coffee.
(b) `∃x cc` R such that x + 3 ≥ 10.


Find the adjoint of the matrix `"A" = [(2,-3),(3,5)]`


If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A|  |B|.


Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.


[2 3 – 7]


Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j


Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.

  1. State the order of matrix M
  2. Find the matrix M

The construction of demand line or supply line is the result of using


Suppose determinant of a matrix Δ = 0, then the solution


I2 is the matrix ____________.


Which expression gives the order of a matrix?


How is the order \[m\times n\] read?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×