Question

Read the SageMath code for understanding, and evaluate the SageCell. Use your findings to provide a matrix H such that HMH⁻¹ = N.

[ -2 -2 ] [ 1181/40 183/40 ]
M = [ ]; N = [
[ 18 17 ] [-3767/40 - 581/40 ]

Answer 1

To find matrix H such that HMH⁻¹ = N, we can multiply both sides of the equation by M⁻¹ to isolate H. Substituting the given values, the matrix H is [9/5 15/4].

Step-by-step explanation:

To find matrix H such that HMH⁻¹ = N, we need to solve the equation for M. We can multiply both sides of the equation by M⁻¹ to isolate H: HMH⁻¹M⁻¹ = NM⁻¹. Simplifying further, we have H = NM⁻¹M.

Substituting the given values, we have H = [-2 -2] [1181/40 183/40]^-1[18 17][-3767/40 - 581/40]. Evaluating this expression, H is equal to [9/5 15/4].