Home
Class 12
MATHS
The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):...

The matrix `P=[{:(0,0,4),(0,4,0),(4,0,0):}]` is a

A

square matrix

B

diagonal matrix

C

unit matrix

D

none of these

Text Solution

AI Generated Solution

To determine the type of the matrix \( P = \begin{pmatrix} 0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0 \end{pmatrix} \), we will analyze its properties step by step. ### Step 1: Check if the matrix is a square matrix. A square matrix is defined as a matrix that has the same number of rows and columns. - **Matrix \( P \)** has 3 rows and 3 columns. - Therefore, \( P \) is a square matrix. ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR ENGLISH|Exercise TRUE/FALSE|2 Videos

  • PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise True/False|9 Videos

Similar Questions

Explore conceptually related problems

The matrix A=[{:(0,0,2),(0,2,0),(2,0,0):}] is: a) scalar matrix b) diagonal matrix c) square matrix d) none of these

The matrix A=[{:(1,0,0),(0,2,0),(0,0,3):}] is: a) scalar matrix b) symmetric matrix c) skew symmetric matrix d) none f these

The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

Statement 1 : Matrix [{:(a,0,0,0),(0,b,0,0),(0,0,c,0):}] is a diagonal matrix. Statement 2 : If A = [a_(ij)] is a square matrix such that a_(ij)=0AAi ne j , then A is called a diagonal matrix.

The matrix A=[(1, 0, 0),( 0, 2, 0),( 0, 0, 4)] is (a) identity matrix (b) symmetric matrix (c) skew-symmetric matrix (d) diagonal matrix

The matrix A= [[0, 0, 4] ,[0 ,4, 0] ,[4 ,0, 0]] is a (a) square matrix (b) diagonal matrix (c) unit matrix (d) none of these

Using elementary transformations, find the inverse of the matrix. ({:(0,0,-1),(3,4,5),(-2,-4,-7):})

find the adjoint of the matrix A=[(1,2,3),(0,5,0),(2,4,3)]

If A is a square matrix such that A*(AdjA)=[{:(4,0,0),(0,4,0),(0,0,4):}] , then

NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. Using elementary transformations (operations), find the inverse of the...

    Text Solution

    |

  2. Express the matrix [{:(2 ,1),(3,4):}] as the sum of a symmetric and a ...

    Text Solution

    |

  3. The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a

    Text Solution

    |

  4. Total number of possible matrices of order 3xx3 with each entry 2 or 0...

    Text Solution

    |

  5. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

    Text Solution

    |

  6. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

    Text Solution

    |

  7. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

    Text Solution

    |

  8. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

    Text Solution

    |

  9. If matrix A=[a(ij)](2X2), where a(ij)={[1,i!=j],[0,i=j]}, then A^2 i...

    Text Solution

    |

  10. The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

    Text Solution

    |

  11. The matrix A=[0-5 8 5 0 12-8-12 0] is a (a) diagonal matrix (b) symmet...

    Text Solution

    |

  12. If A is matrix of order mxxn and B is a matrix such that AB' and B'A ...

    Text Solution

    |

  13. if A and B are matrices of same order, then (AB'-BA') is a 1) null mat...

    Text Solution

    |

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

    Text Solution

    |

  15. For any two matrices A and B , we have

    Text Solution

    |

  16. On usign elementry column operation C(2)rArrC(2)-2C(1) in the followin...

    Text Solution

    |

  17. On using row operation R(1)rArrR(1)-3R(2) in the following matrix equa...

    Text Solution

    |

  18. ......... Matrix is both symmetric and skew-symmetric matrix.

    Text Solution

    |

  19. Sum of two skew-symmetric matrices is always ......... Matrix.

    Text Solution

    |

  20. The negative of a matrix is obtained b y multiplying it by ...........

    Text Solution

    |