Assume that the set
is a ring with respect to matrix addition and multiplication.
Verify that the mapping
Describe ker
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Elements Of Modern Algebra
- 12. Consider the mapping defined by . Decide whether is a homomorphism, and justify your decision.arrow_forwardLet T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and nullity of T. (b) Find a basis for the kernel of T.arrow_forwardLet T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.arrow_forward
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