Published on 31 Jan 2019

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MT Q

İ S. Y

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Q . §. C I M

Let T:R3ÏR3be the linear transformation deﬁned by

(x1, x2, x3)7Ï (x1+x2+x3, x2+x3, x3).

Let S:R3ÏR3be the linear transformation deﬁned by

(x1, x2, x3)7Ï (x3, x2+x3, x1+x2+x3).

(A) Is S◦Tinvertible? If it is, ﬁnd the formula for (S◦T)−1.

(B) Is T◦Sinvertible? If it is, ﬁnd the formula for (T◦S)−1.

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