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

The value of Minor of element b22 in matrix B = [2-245] is ______ - Mathematics and Statistics

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प्रश्न

The value of Minor of element b22 in matrix B = `[(2, -2),(4, 5)]` is ______

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उत्तर

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पाठ 1.2: Matrices - Q.3

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संबंधित प्रश्‍न

Find the matrix of the co-factor for the following matrix.

`[(1,3),(4,-1)]`


Find the adjoint of the following matrix.

`[(2,-3),(3,5)]`


Find the inverse of the following matrix (if they exist):

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


Find the inverse of the following matrix (if they exist):

`[(3,-10),(2,-7)]`


Find the inverse of the following matrices by the adjoint method `[(3, -1),(2, -1)]`.


Find the inverse of the following matrices by the adjoint method `[(2, -2),(4, 5)]`.


Find the inverse `[(1, 2, 3 ),(1, 1, 5),(2, 4, 7)]` of the elementary row tranformation.


Fill in the blank :

If A = [aij]2x3 and B = [bij]mx1 and AB is defined, then m = _______


State whether the following is True or False :

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


Check whether the following matrices are invertible or not:

`[(1, 0),(0, 1)]`


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

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


Find the inverse of `[(3, 1, 5),(2, 7, 8),(1, 2, 5)]` by adjoint method.


The adjoint matrix of `[(3, -3, 4),(2, -3, 4),(0, -1, 1)]` is ______.


A + I = `[(3, -2),(4, 1)]` then find the value of (A + I)(A − I)


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


If f(x) = x2 − 2x − 3 then find f(A) when A = `[(1, 2),(2, 1)]`


Find A–1 using adjoint method, where A = `[(cos theta, sin theta),(-sin theta, cos theta)]`


Choose the correct alternative:

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


Find the inverse of matrix B = `[(3,1, 5),(2, 7, 8),(1, 2, 5)]` by using adjoint method


If X = `[(8,-1,-3),(-5,1,2),(10,-1,-4)]` and Y = `[(2,1,-1),(0,2,1),(5,p,q)]`  then, find p, q if Y = X-1


Solve by matrix inversion method:

2x – z = 0; 5x + y = 4; y + 3z = 5


If A = `[(1,-1),(2,3)]` show that A2 - 4A + 5I2 = 0 and also find A-1.


If A = `[(1,2),(3,-5)]`, then A-1 = ?


The matrix M = `[(0,1,2),(1,2,3),(3,1,1)]` and its inverse is N = [nij]. What is the element n23 of matrix N?


The matrix A = `[("a",-1,4),(-3,0,1),(-1,1,2)]` is not invertible only if a = _______.


If [abc] ≠ 0, then `(["a" + "b b" + "c c" + "a"])/(["b c a"])` = ____________.


If A = `[(x,1),(1,0)]` and A = A , then x = ______.


If A = `[(3, -3, 4), (2, -3, 4), (0, -1, 1)]` then A-1 = ______


If A is non-singular matrix and (A + l)(A - l) = 0 then A + A-1 = ______.


If A = `[(1,-1,1),(2,1,-3),(1,1,1)]`, then the sum of the elements of A-1 is ______.


The matrix `[(lambda, 1, 0),(0, 3, 5),(0, -3, lambda)]` is invertible ______.


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 = `[(cos theta, sin theta, 0),(-sintheta, costheta, 0),(0, 0, 1)]`, where A11, A11, A13 are co-factors of a11, a12, a13 respectively, then the value of a11A11 + a12A12 + a13A13 = ______.


The inverse of the matrix A = `[(3, 0, 0),(0, 4, 0),(0, 0, 5)]` is ______.


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


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