मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Fill in the blank : If A = [3-525], then co-factor of a12 is _______ - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Fill in the blank :

If A = `[(3, -5),(2, 5)]`, then co-factor of a12 is _______

रिकाम्या जागा भरा

उत्तर

If A = `[(3, -5),(2, 5)]`, then co-factor of a12 is – 2.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८३]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Matrices
Miscellaneous Exercise 2 | Q 2.06 | पृष्ठ ८३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

The sum of three numbers is 6. If we multiply the third number by 3 and add it to the second number we get 11. By adding first and third numbers we get a number, which is double than the second number. Use this information and find a system of linear equations. Find these three numbers using matrices.


If A = `[(1, 3), (3, 1)]`, Show that A2 - 2A is a scalar matrix.


If A = `[(1,-1,2),(3,0,-2),(1,0,3)]` verify that A (adj A) = (adj A) A = | A | I


Find the inverse of the following matrix by the adjoint method.

`[(2,-2),(4,3)]`


Choose the correct answer from the given alternatives in the following question:

If A = `[(lambda,1),(-1, -lambda)]`, and A-1 does not exist if λ = _______


Choose the correct answer from the given alternatives in the following question:

If A = `[("cos"alpha,-"sin"alpha),("sin"alpha,"cos"alpha)]`, then A-1 = _____


Choose the correct answer from the given alternatives in the following question:

The inverse of A = `[(0,1,0),(1,0,0),(0,0,1)]` is


Find the inverse of the following matrices by transformation method:

`[(2, 0, −1),(5, 1, 0),(0, 1, 3)]`


Adjoint of `[(2, -3),(4, -6)]` is _______


Choose the correct alternative.

If A2 + mA + nI = O and n ≠ 0, |A| ≠ 0, then A–1 = _______


If A = `[(1, 2),(-3, -1)], "B" = [(-1, 0),(1, 5)]`, then AB = 


Fill in the blank :

If a1x + b1y = c1 and a2x + b2y = c2, then matrix form is `[(......, ......),(......, ......)] = [(x),(y)] = [(......),(......)]`


State whether the following is True or False :

A = `[(2, 1),(10, 5)]` is invertible matrix.


State whether the following is True or False :

A(adj. A) = |A| I, where I is the unit matrix.


Find inverse of the following matrices (if they exist) by elementary transformations :

`[(2, 1),(7, 4)]`


A = `[(cos alpha, - sin alpha,  0),(sin alpha, cos alpha,  0),(0, 0, 1)]`, then A−1 is


If ω is a complex cube root of unity, then the matrix A = `[(1, ω^2, ω),(ω^2, ω, 1),(ω, 1, ω^2)]` is


If `[(x - y - z),(-y + z),(z)] = [(0),(5),(3)]`, then the value of x, y and z are respectively ______


For an invertible matrix A, if A . (adj A) = `[(10, 0),(0, 10)]`, then find the value of |A|.


If A = `[(0, 3, 3),(-3, 0, -4),(-3, 4, 0)]` and B = `[(x),(y),(z)]`, find the matrix B'(AB)


Find the adjoint of matrix A = `[(6, 5),(3, 4)]`


Choose the correct alternative:

If A is a non singular matrix of order 3, then |adj (A)| =  ______


Find the inverse of the following matrix:

`[(3,1),(-1,3)]`


If A-1 = `[(1,0,3),(2,1,-1),(1,-1,1)]`  then, find A.


The inverse matrix of `((3,1),(5,2))` is


If A is an invertible matrix of order 2 then det (A-1) be equal


If A is non-singular matrix such that (A - 2l)(A - 4l) = 0 then A + 8A-1 = ______.


If A = `[(p/4, 0, 0), (0, q/5, 0), (0, 0, r/6)]` and `"A"^-1 = [(1/4, 0, 0), (0, 1/5, 0), (0, 0, 1/6)]`, then p + q + r = ______ 


If a 3 × 3 matrix A has its inverse equal to A, then A2 = ______ 


If A2 - A + I = 0, then A-1 = ______.


If AB = I and B = AT, then _______.


If the inverse of the matrix A = `[(1, 1, -1), (1, -2, 1), (2, -1, -3)]` is `1/9 [(7, 4, -1), (5, -1, -2), (3, 3, a)]`, then a is equal to ______ 


If A–1  = `[(3, -1, 1),(-15, 6, -5),(5, -2, 2)]`, then adj A = ______.


If matrix A = `[(3, -2, 4),(1, 2, -1),(0, 1, 1)]` and A–1 = `1/k` (adj A), then k is ______.


If A = `[(1, 2, -1),(-1, 1, 2),(2, -1, 1)]`, then det (adj (adj A)) is ______.


If A = `[(0, 0, 1),(0, 1, 0),(1, 0, 0)]`, then A2008 is equal to ______.


For a invertible matrix A if A(adjA) = `[(10, 0),(0, 10)]`, then |A| = ______.


If the inverse of the matrix `[(α, 14, -1),(2, 3, 1),(6, 2, 3)]` does not exist, then the value of α is ______.


If A = `[(2, 2),(-3, 2)]`, B = `[(0, -1),(1, 0)]`, then (B–1 A–1)–1 is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×