chapter 9 matrices and transformations 9matrices and transformations objectives after studying this chapter you should be able to handle matrix and vector algebra with confidence and understand the differences between ...
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...Chapter matrices and transformations objectives after studying this you should be able to handle matrix vector algebra with confidence understand the differences between scalar determine inverses of recognising conditions under which they do or not exist express plane in algebraic form recognise use standard for less straightforward properties invariancy help describe appreciate composition simple derive eigenvalues eigenvectors a given interpret their significance relation an associated transformation introduction is rectangular array numbers each entry called element are classified by number rows columns that have m n said order example then has first second elements can denoted being ith row ij jth column above case etc addition subtraction defined only equal sum difference b obtained adding subtracting corresponding positions thus however if c neither added nor subtracted from either think as stores information makes sense milkman delivers three varieties milk pasteurised pa semi s...