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    Linear Transformations,Find basis of kernel and range

    Thank you!
  2. N

    Linear Transformations,Find basis of kernel and range

    Thank you!
  3. N

    Linear Transformations,Find basis of kernel and range

    suppose that vectors in R3 are denoted by 1*3 matrices, and define T:R4 to R3 by T9x,y,z,t)=(x-y+z+t,2x-2y+3z+4t,3x-3y+4z+5t).Find basis of kernel and range.
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    What Are the Possible Forms of the Kernel in Linear Transformations from R3?

    Let T:R3 to V be a linear transformation from R3 to any vector space.Show that the kernel of T is a line through the origin, a plane through the origin,the origin only, or all of R3.
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