2. Show that the linear transformation
cos 8 sin e
where 0
sin cos
-[-:
tan 1
2h
changes the matrix
to the diagonal form D-HCH'.
h 6
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4x^2 + 7x + 3 factorise it using identity that is (a^2 + 2ab + b^2)should, however, be noted that 7×(xy) is not an irreducible form of 7xy since the factor xy can be further expressed as a product of x and y, i.e., xy = x×y. Let’s consider another expression 5x (x+4). It can be written as a product of factors. 5, x and (x+2). 5x(x+4) = 5×x×(x+4). The factors 5, x and (x+4) are irreducible factors of 5x (x+4)
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