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QUESTION

The dimension of the image and kernel of a linear transformation.

Q2 The Dimension of The Image and Kernel of a LinearTransformation50 PointsQ2.125 PointsConsider at linear transformation 7(@) = [email protected], where A c R( *8, such thatdim( ker ( A) ) = 3.What is dim ( im ( A) ) = ?Please select file(s)Select file(s)Q2.225 PointsConsider at linear transformation 7(@) = BE, where B C IR*, such thatdim( im (B) ) = 3.What is dim ( ker ( B) ) = ?Please select file(s)Select file(s)Q2.3 Bonus Question (20 bonus points available)0 PointsConsider at linear transformation T(@) = Ca, such that dim ( im (C) ) = 3, anddim ( ker (C) ) = 4.What can we say about(1) the number of rows of C, and(2) the number of columns of C ?

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