हिंदी

Select the correct option from the given alternatives: If A and B are square matrices of equal order, then which one is correct among the following?

Advertisements
Advertisements

प्रश्न

Select the correct option from the given alternatives:

If A and B are square matrices of equal order, then which one is correct among the following?

विकल्प

  • A + B = B + A

  • A + B = A – B

  • A – B = B – A

  • AB = BA

MCQ
Advertisements

उत्तर

A + B = B + A

Explanation;

Matrix addition is commutative.

∴ A + B = B + A

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Determinants and Matrices - Miscellaneous Exercise 4(B) [पृष्ठ १००]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
अध्याय 4 Determinants and Matrices
Miscellaneous Exercise 4(B) | Q I. (3) | पृष्ठ १००

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Determine the product `[(-4,4,4),(-7,1,3),(5,-3,-1)][(1,-1,1),(1,-2,-2),(2,1,3)]` and use it to solve the system of equations x - y + z = 4, x- 2y- 2z = 9, 2x + y + 3z = 1.


Given two matrices A and B 

`A = [(1,-2,3),(1,4,1),(1,-3, 2)]  and B  = [(11,-5,-14),(-1, -1,2),(-7,1,6)]`

find AB and use this result to solve the following system of equations:

x - 2y + 3z = 6, x + 4x + z = 12, x - 3y + 2z = 1


A coaching institute of English (subject) conducts classes in two batches I and II and fees for rich and poor children are different. In batch I, it has 20 poor and 5 rich children and total monthly collection is Rs 9,000, whereas in batch II, it has 5 poor and 25 rich children and total monthly collection is Rs 26,000. Using matrix method, find monthly fees paid by each child of two types. What values the coaching institute is inculcating in the society?


Show that a matrix A = `1/2[(sqrt2,-isqrt2,0),(isqrt2,-sqrt2,0),(0,0,2)]` is unitary.


If A and B are square matrices of the same order 3, such that ∣A∣ = 2 and AB = 2I, write the value of ∣B∣.


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(5),(4),(-3)]`


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(6, 0),(0, 6)]`


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(3, 0, 0),(0, 5, 0),(0, 0, 1/3)]`


Find k if the following matrix is singular:

`[("k" - 1, 2, 3),(3, 1, 2),(1, -2, 4)]`


The following matrix, using its transpose state whether it is symmetric, skew-symmetric, or neither:

`[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`


If A = `[(1, 2, 2),(2, 1, 2),(2, 2, 1)]`, Show that A2 – 4A is a scalar matrix 


If A = `[(1, 0),(-1, 7)]`, find k so that A2 – 8A – kI = O, where I is a unit matrix and O is a null matrix of order 2.


Answer the following question:

If A = diag [2 –3 –5], B = diag [4 –6 –3] and C = diag [–3 4 1] then find B + C – A


Choose the correct alternative:

If B = `[(6, 3),(-2, "k")]` is singular matrix, then the value of k is ______


If A is a square matrix of order 2 such that A(adj A) = `[(7, 0),(0, 7)]`, then |A| = ______


If A = `[(3, -4),(1, 1),(2, 0)]` and B = `[(2, 1, 2),(1, 2, 4)]`, then verify (BA)2 ≠ B2A2 


If A = `[(0,0,0),(0,0,0),(0,1,0)]` then A is ____________.


A square matrix A = [aij]nxn is called a diagonal matrix if aij = 0 for ____________.


The matrix `[(0,5,-7),(-5,0,11),(7,-11,0)]` is ____________.


The matrix `[(0,-5,8),(5,0,12),(-8,-12,0)]`  is a ____________.


If A is a square matrix such that A2 = A, then (I + A)2 - 3A is ____________.


A square matrix in which elements in the diagonal are all 1 and rest are all zero is called an


The number of all possible matrices of order 3/3, with each entry 0 or 1 is


Find X, If `[X - 5 - 1] [(1, 0, 2),(0, 2, 1),(2, 0, 3)][(x),(4),(1)] ` = 0


If `[(1, 2, 1),(2, 3, 1),(3, a, 1)]` is non-singular matrix and a ∈ A, then the set A is ______.


Matrices are classified into different types based on which two features?


A matrix where the number of rows equals the number of columns is called a:


Which elements can be non-zero in a diagonal matrix?


A scalar matrix is a diagonal matrix in which:


Which pair of conditions defines a scalar matrix?


Which condition defines an identity matrix?


What is the notation for a zero matrix?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×