Homepage › Solution manuals › Gilbert Strang › Linear Algebra and Learning from Data › Exercise 3.3.8
ĀTA = (S¯+Z¯)T(S+Z) = (S¯T+Z¯T)(S+Z) = S¯TS+S¯Z+Z¯TS+Z¯TZ = S¯S+S¯Z−Z¯S−Z¯Z
AĀT = (S+Z)(S¯+Z¯)T = (S+Z)(S¯T+Z¯T) = SS¯T+ZS¯T+ZZ¯T+SZ¯T = SS¯+ZS¯−SZ¯−ZZ¯
