Home
Class 12
MATHS
Let A be a square matrix of order 3 whos...

Let A be a square matrix of order 3 whose all entries are 1 and let `I_(3)` be the identity matrix of order 3. Then the matrix `A - 3I_(3)` is

A

invertible

B

orthogonal

C

non-invertible

D

real Skew Symmetric matrix

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

  • QUESTION PAPER 2021

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTION|75 Videos

Similar Questions

Explore conceptually related problems

Let A be a square matrix of order 3xx3 , then |KA| is equal to

Let A be a nonsingular square matrix of order 3xx3 .Then |adj A| is equal to

Let A and B be two square matrices of order 3 and AB=O_3 , wher O_3 denotes the null matrix of order 3. Then,

Let A be a square matrix of order 3 such that det. (A)=1/3 , then the value of det. ("adj. "A^(-1)) is

A square matrix M of order 3 satisfies M^(2)=I-M , where I is an identity matrix of order 3. If M^(n)=5I-8M , then n is equal to _______.

If A is a square matrix of order 3 such that |A|=5 , then |Adj(4A)|=

Let A be a matrix of order 2xx2 such that A^(2)=O . tr (A) is equal to

Let A be a square matrix of order 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

If A , B are two square matrices of same order such that A+B=AB and I is identity matrix of order same as that of A , B , then

If I is the unit matrix of order 10xx10 , then the determinant of I is equal to -

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
  1. 7^(2n) + 16n - 1(n in N) is divisible by

    Text Solution

    |

  2. The number of irrational terms in the expansion of (3^((1)/(8)) + 5^((...

    Text Solution

    |

  3. Let A be a square matrix of order 3 whose all entries are 1 and let I(...

    Text Solution

    |

  4. If A = ((5, 5x, x), (0, x, 5x), (0, 0, 5)) and |A^(2)| = 25, then |x| ...

    Text Solution

    |

  5. The system of equations lambda x + y + 3z = 0 3x + mu y -z = 0 5...

    Text Solution

    |

  6. Let f : X rarr Y and A, B are non-void subsets of Y, then (where the s...

    Text Solution

    |

  7. Let S, T, U be three non-void sets and f : S rarr T, g : T rarr U be s...

    Text Solution

    |

  8. The polar coordinate of a point P is (2, (pi)/(4)). The polar coordina...

    Text Solution

    |

  9. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |

  10. Let f(x) = x^(4) - 4x^(3) + 4x^(2) + c, c in R. Then

    Text Solution

    |

  11. The graphs of the polynomial x^(2)-1 and cos x intersect

    Text Solution

    |

  12. A point is in motion along a hyperbola y = (10)/(x) so that its abscis...

    Text Solution

    |

  13. Let a = min {x^(2) + 2x + 3 : x in R} and b = lim(theta rarr 0)(1-cos...

    Text Solution

    |

  14. Let a gt b gt 0 and I(n) = a^(1//n) - b^(1//n), J(n) = (a-b)^(1//n) fo...

    Text Solution

    |

  15. Let hat(alpha), hat(beta), hat(gamma)be three unit vectors such that h...

    Text Solution

    |

  16. The position vectors of the points A, B, C and D are 3hat(i) - 2hat(j)...

    Text Solution

    |

  17. A particle starts at the origin and moves 1 unit horizontally to the r...

    Text Solution

    |

  18. For any non-zero complex number z, the minimum value of |z| + |z-1| is

    Text Solution

    |

  19. Let A = ((3, 0, 3), (0, 3, 0), (3,0,3)). Then the roots of the equatio...

    Text Solution

    |

  20. If A and B are (-2, -2) and (2, -4) respectively, find the coordinates...

    Text Solution

    |