MATH 2211 Midterm: Exam2MT210
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De ne the linear transformation t : r3 r3 so that x1 x2 x3. Explain. d. ) if there is any, nd a vector v such that t( v) = b where b = . De ne the linear transformations t : r4 r2 and s : r2 r3 so that. = [ x1 x2 + x3 + x4 x1 + x2 + x3 x4 ] and s([ x1 x2 ]) = . Find the standard matrix of s t. b. ) Find, if there is any, a vector v such that (s t)( v) = b where b = . De ne the linear transformations t : r2 r2 and s : r2 r2 so that. T ([ x1 x2 ]) = [ 2x1 + 3x2. X1 + x2 ] . x2 ]) = [ x1 x2. 3x1 2x2 ] and s([ x1 a. ) If t s is invertible, nd the formula for (t s) 1(hint.
