MathDB

Problem 1

Part of 2018 CIIM

Problems(1)

CIIM 2018 Problem 1

Source:

3/9/2019
Show that there exists a 2×22 \times 2 matrix of order 6 with rational entries, such that the sum of its entries is 2018. Note: The order of a matrix (if it exists) is the smallest positive integer nn such that An=IA^n = I, where II is the identity matrix.
CIIM2018undergraduatelinear algebramatrix