Suppose you have a dataset { x } = { ( x ( 1 ) , x ( 2 ) ) } consisting of 2-dimensional vectors. you observe that var ( { x ( 1 ) } ) = 9 and var ( { x ( 2 ) } ) = 4 and also that cov ( { ( x ( 1 ) , x ( 2 ) ) } ) = 6 . what is covmat ( { x } ) ? find the eigenvalues of covmat ( { x } ) . what do the eigenvalues say about the shape of the blob of the dataset { x } ?

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2