Under what conditions is the matrix equation `A^2-B^2=(A-B)(A+B)` is true?

Under what conditions is the matrix A^2-B^2=(A-B)(A+B) is true?

Under what conditions is 2x^(2)+kx+2 always positive ?

Under what conditions do a plant transpire (a) more quickly and (b) most slowly? ……………………………………

If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(A+B) , then which of the following will be always true

The following two chemical reactions are supposed to indicate a certain process occurring in the green plant under two different conditions: A. C_6H_12O_6+6O_2 to 6CO_2 + …… + 38 ATP B. C_6H_12O_6 to ….. + 2CO_2 + 2ATP (i) Fill in the blanks of each reaction. (ii) Name the process represented by the two chemical equations. (iii) What are the conditions under which the two reactions A and B are occurring?

If B is an idempotent matrix, and A=I-B , then

sin 2B = 2 sin B is true when B is equal to

If there are three square matrix A, B, C of same order satisfying the equation A^2=A^-1 and B=A^(2^n) and C=A^(2^((n-2)) , then prove that det .(B-C) = 0, n in N .

If vec(A) + vec(B) = vec(C ) under what condition A^(2)+B^(2) will be equal to C^(2) ?

If A is an invertible matrix and B is a matrix, then