3. Let L: R R' be the linear transformation defined by L(X) = Ax, where A is a 3 x 3 matrix with no zero entries and all of its entries different. (a) Find a matrix A so that 0 is in ker L. (b) Can A be chosen nonsingular? Explain.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Linear Algebra

3. Let L: R R' be the linear transformation defined by
L(X) = Ax, where A is a 3 x 3 matrix with no zero entries
and all of its entries different.
(a) Find a matrix A so that 0
is in ker L.
(b) Can A be chosen nonsingular? Explain.
Transcribed Image Text:3. Let L: R R' be the linear transformation defined by L(X) = Ax, where A is a 3 x 3 matrix with no zero entries and all of its entries different. (a) Find a matrix A so that 0 is in ker L. (b) Can A be chosen nonsingular? Explain.
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