Home
Class 12
MATHS
If A=[(1,2,3),(2,1,2),(2,2,3)]B=[(1,2,2)...

If `A=[(1,2,3),(2,1,2),(2,2,3)]B=[(1,2,2),(-2,-1,-2),(2,2,3)]` and `C=[(-1,-2,-2),(2,1,2),(2,2,3)]` then find the value of tr. `(A+B^(T)+3C)`.

Text Solution

Verified by Experts

The correct Answer is:
17
tr. `(A+B^(T)+3C)=`tr. `(A)+` tr. `(B^(T))+` tr. `(3C)`
`=(1+1+3)+(1-1+3)+3(-1+1+3)`
`=17`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Exercise 13.3|10 Videos

  • MATRICES

    CENGAGE|Exercise Exercise 13.4|12 Videos

  • MATRICES

    CENGAGE|Exercise Exercise 13.1|5 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If A=[(3,1,2),(1,2,3)] ,B= [(1,0),(2,1),(1,1)] find AB and BA.

Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)], then find tr(A)-tr(B).

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'

If Delta=|(1,2,3),(3,1,2),(2,3,1)| then |(3,1,2),(1,2,3),(2,3,1)| is

If A= [(3,-1,0),(2,1,5)] ,B= [(2,2,1),(3,0,-2)] .Find A+B,2A-B

If A= [(2,1),(4,-2)] ,B= [(4,-2),(1,4)] and C= [(-2,-3),(1,2)] find (III)A-(3B-C)

If A=[(0,1,2),(1,2,3),(3,a,1)] and A^(-10)=[(1//2,1//2,1//2),(-4,3,c),(5//2,-3//2,1//2)] , then the values of a and c are equal to

If A= [(2,1),(4,-2)] ,B= [(4,-2),(1,4)] and C= [(-2,-3),(1,2)] find (i)-2A+B+C