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A: The trace of [(2,-1),(1,6)] is 8 R:...

A: The trace of `[(2,-1),(1,6)]` is 8
R: The trace of a square matrix is the sum of elements in the principal diagonal.

A

Both A and R are ture and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

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The correct Answer is:
A
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Find the trace of [(1,3,-5),(2,-1,5),(2,0,1)]

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Knowledge Check

  • Assertion (A) : |{:(1,2,2),(2,3,4),(3,5,6):}|=0 Reason (R) : If the elements of a column of a square matrix are k times the elements of another column then the value of the determinant of the matrix is 0.

    A
    Both A and R true and R is the correct explanation of A
    B
    Both A and R are true but R is not correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • If A=[(4,x+2),(2x-3,x+1)] is symmetric then trace of A is

    A
    5
    B
    `-10`
    C
    10
    D
    15

  • Let A=[{:(7,5), (4, 8):}], B=[{:(4, 3), (7, 5):}] " and "C=[{:(-5, 3), (7, -4):}] IF Tr(S) denotes the trace of a square matrix S then sum_(k=0)^(infty)1/(3^(k))Tr{A(BC)^(k)}=

    A
    `45/2`
    B
    36
    C
    `81/2`
    D
    9

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