Math
posted by Amanda .
Suppose A and B are nonzero matrices such that A^2=0 and B^3=0(But B^2 does not =0) find in simplst form:
a)(A+B)^2
b)(A+B)^3
c)(A+B)^4
d)(A+B)^5
e)(A+B)^6
Respond to this Question
Similar Questions

Math (matrices)
No one answered my matrix question. Let me rephrase: Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible and 0 is all zeroes, what is the inverse of the matrix [A0] [BA] (that is a 4x4 matrix represented as 4 2x2 matrices) … 
Math: matrices
If A and B are both square n x n matrices, If AB = I, prove BA = I Presumably you have to do this without using the usual properties of the inverse of matrices. But we do need to use that if there exists a matrix B such that A B = … 
linear algebra
if: A and B are matrices and A^2 is similar to B^2 Is A guaranteed to be similar to B? 
Linear Algebra
Suppose A and B are nonzero matrices such that A^2=0 and B^3=0(But B^2 does not =0) find in simplst form: a)(A+B)^2 b)(A+B)^3 c)(A+B)^4 d)(A+B)^5 e)(A+B)^6 
Linear Algebra
Give example of two nonzero matrices A and B such that A^2=0, B^2=0 but AxB and BxA do not equal zero. 
college Linear Algebra
Give example of two nonzero matrices A and B such that A^2=0, B^2=0 but AxB and BxA do not equal zero. 
Physics or math (very simple terminology question)
"Describe the characteristics of each graph (for example, . . . ., zero or nonzero intercept value)." I guess a zero intercept value would be if the line is on the point (0,0)/the origin. But what if the line starts at (0,1) or (2,0). … 
Algebra
Suppose f(x) and g(x) are nonzero polynomials with real coefficients, such that f(g(x))=f(x)\cdot g(x). If g(2)=37, what is g(3)? 
Algebra
Suppose f(x) is a rational function such that 3f(1/x)+(2f(x)/x)=x^2 for all nonzero x. Find f(2). I noticed that f appears as f(x) and f(1/x). That's probably important... 
Math
Suppose C and D are 2 × 2 matrices with det(C) = −3 and det(D) = 2. Find the determinant of the matrices 8C^3D2 and 5 C^1