Home
Class 12
MATHS
Let A=[a(ij)](3xx3) be a scalar matrix a...

Let `A=[a_(ij)]_(3xx3)` be a scalar matrix and `a_(11)+a_(22)+a_(33)=15` then write matrix A.

Text Solution

AI Generated Solution

To solve the problem, we need to find the scalar matrix \( A \) given the condition that the sum of its diagonal elements equals 15. ### Step-by-Step Solution: 1. **Understanding Scalar Matrix**: A scalar matrix is a special type of diagonal matrix where all the diagonal elements are equal. Therefore, we can express matrix \( A \) as: \[ A = k \cdot I ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|30 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (One option is correct)|13 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Example 23|1 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

A=[a_(ij)]_(mxxn) is a square matrix, if

Let A=([a_(i j)])_(3x3) be a matrix such that a_(11)=a_(33)=2 and all the other elements a_(i j)=1 A^(-1)= (a) A^2+5A-I (b) A^2-5A+5I (c) A^2+5A-5I (d) A^2+5A+5I

If A=[a_(i j)] is a 3xx3 scalar matrix such that a_(11)=2 , then write the value of |A| .

If A=[a_(ij)] is a scalar matrix, then trace of A is

If A=[a_(i j)] is a 3xx3 diagonal matrix such that a_(11)=1 , a_(22)=2 and a_(33)=3 , then find |A| .

Let A=[a_(ij)]_(nxxn) be a square matrix and let c_(ij) be cofactor of a_(ij) in A. If C=[c_(ij)] , then

A matrix A=[a_(ij)]_(mxxn) is

Let A=([a_(i j)])_(3xx3) be a matrix such that AA^T=4Ia n da_(i j)+2c_(i j)=0,w h e r ec_(i j) is the cofactor of a_(i j)a n dI is the unit matrix of order 3. |a_(11)+4a_(12)a_(13)a_(21)a_(22)+4a_(23)a_(31)a_(32)a_(33)+4|+5lambda|a_(11)+1a_(12)a_(13)a_(21)a_(22)+1a_(23)a_(31)a_(32)a_(33)+1|=0 then the value of 10lambda is _______.

Let A=[a_("ij")]_(3xx3) be a matrix such that A A^(T)=4I and a_("ij")+2c_("ij")=0 , where C_("ij") is the cofactor of a_("ij") and I is the unit matrix of order 3. |(a_(11)+4,a_(12),a_(13)),(a_(21),a_(22)+4,a_(23)),(a_(31),a_(32),a_(33)+4)|+5 lambda|(a_(11)+1,a_(12),a_(13)),(a_(21),a_(22)+1,a_(23)),(a_(31),a_(32),a_(33)+1)|=0 then the value of lambda is

Let A=[a_(ij)]_(mxxn) be a matrix such that a_(ij)=1 for all I,j. Then ,