Home
Class 12
MATHS
Let A and B are 3xx3 matrices with real ...

Let A and B are `3xx3` matrices with real number entries, where A is symmetric, B is skew - symmetric and `(A+B)(A-B)=(A-B)(A+B)`. If `(AB)^(T)=(-1)^(k)AB`, then the sum of all possible integral value of k in `[2, 10]` is equal to (where `A^(T)` represent transpose of matrix A)

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A and B be 3xx 3 matrices of real numbers, where A is symmetric and B skew symmetric and (A+B)(A-B)=(A-B)(A+B) . If (A B)^prime=(-1)^n A B then,

Let A dn B be 3xx3 matrtices of ral numbers,where A is symmetric,B is skew- symmetric,and (A+B)(A-B)=(A-B)(A+B). If (AB)^(t)=(-1)^(k)AB, where (AB)^(t) is the transpose of the mattix AB, then find the possible values of k.

Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "B" is skew-symmetric , and (A+B)(A-B)=(A-B)(A+B)dot If (A B)^t=(-1)^k A B , where . (A B)^t is the transpose of the mattix A B , then find the possible values of kdot

Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "B" is skew-symmetric , and (A+B)(A-B)=(A-B)(A+B)dot If (A B)^t=(-1)^k A B , where . (A B)^t is the transpose of the mattix A B , then find the possible values of kdot

Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "B" is skew-symmetric , and (A+B)(A-B)=(A-B)(A+B)dot If (A B)^t=(-1)^k A B , where . (A B)^t is the transpose of the mattix A B , then find the possible values of kdot

Let Ad nB be 3xx3 matrtices of ral numbers, where A is symmetric, "B" is skew-symmetric , and (A+B)(A-B)=(A-B)(A+B)dot If (A B)^t=(-1)^k A B ,w h e r e(A B)^t is the transpose of the mattix A B , then find the possible values of kdot

Let A and B be 3 xx 3 matrices of real numbers, where A is symmetric , B is skew symmetric and (A + B) (A - B) = (A - B) ( A + B). If (AB)^(t) = (-1)^(k) AB , where (AB)^(t) is the transpose of the matrix AB, then k is a)any integer b)odd integer c)even integer d)cannot say anything

Let A and B be any two 3xx3 matrices . If A is symmetric and B is skew -symmetric then the matrix AB-BA is :

Let A and B be any two 3 xx 3 matrices. If A is symmetric and B is skew symmetric, then the matrix AB-BA is

If the matrix [(2,3),(5,-1)]=A +B , where A is symmetric and B is skew symmetric, then B=