हिंदी

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: [3000500013]

Advertisements
Advertisements

प्रश्न

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)]`

योग
Advertisements

उत्तर

Since all the non-diagonal matrix are zero, it is a diagonal matrix.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८३]

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 2. (vii) | पृष्ठ ८३

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

`A = [a_(ij)]_(m xx n)` is a square matrix, if ______.


If A = `[(0, -tan  α/2), (tan  α/2, 0)]` and I is the identity matrix of order 2, show that I + A = `(I - A)[(cos α, -sin α),(sin α, cos α)]`


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.


if the matrix A =`[(0,a,-3),(2,0,-1),(b,1,0)]` is skew symmetric, Find the value of 'a' and 'b'


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


If A and B are square matrices of order 3 such that |A| = –1, |B| = 3, then find the value of |2AB|.


Using coding matrix A=`[(2,1),(3,1)]` encode the message THE CROW FLIES AT MIDNIGHT.


If A is a square matrix of order 3 with |A| = 4 , then the write the value of |-2A| . 


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:

`[(0, 4, 7),(-4, 0, -3),(-7, 3, 0)]`


Identify the following matrix is singular or non-singular?

`[(7, 5),(-4, 7)]`


Find k if the following matrix is singular:

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


Construct the matrix A = [aij]3 × 3 where aij = i − j. State whether A is symmetric or skew-symmetric.


Answer the following question:

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


Choose the correct alternative:

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


Choose the correct alternative:

If A = `[(2, 0),(0, 2)]`, then A2 – 3I = ______


State whether the following statement is True or False:

If A and B are two square matrices such that AB = BA, then (A – B)2 = A2 – 2AB + B2 


AB = AC ⇒ B = C for any three matrices of same order.


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


The matrix A `=[(0,1),(1,0)]` is a ____________.


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


`[(5sqrt(7) + sqrt(7)) + (4sqrt(7) + 8sqrt(7))] - (19)^2` = ?


A diagonal matrix is said to be a scalar matrix if its diagonal elements are


If 'A' is square matrix, such that A2 = A, then (7 + A)3 = 7A is equal to


A diagonal matrix in which all diagonal elements are same, is called a ______ matrix.


Let A be a 2 × 2 real matrix with entries from {0, 1} and |A| ≠ 0. Consider the following two statements:

(P) If A1I2, then |A| = –1

(Q) If |A| = 1, then tr(A) = 2,

where I2 denotes 2 × 2 identity matrix and tr(A) denotes the sum of the diagonal entries of A. Then ______.


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?


Which condition holds for a diagonal matrix when \[i\ne j\]?


How is an identity matrix denoted when its order is \[n\]?


What happens when any matrix is multiplied by an identity matrix?


Which matrix is an identity matrix?


Which orders can a zero matrix have?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×