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What is the condition for eigenvalues and eigenvectors of a matrix M to exist? *54. (Part 17, easy) 105-W5

A. The determinant of M is non-zero.
B. The matrix M has to be a diagonal matrix.
C. (M-) is not invertible.
D. Any matrix has eigenvalues and eigenvectors.

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Which of the following requirements is correct for a network that can form memory? 67. (part 21, difficult) 105-W7

A. No degenerated eigenvectors.
B. The ability to integrate signals.
C. The ability to sustain steady states after the input is removed.
D. None of above

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In our derivation of memory in the lecture part 21, what is the requirement of , the ratio of activated neurons for each memorized item? *68. (part 21, medium) 105-W7

A. α=1
B. α>1
C. α=0.5
D. α

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Which of the following two dimensional system possesses a saddle point? (A’ denotes the time derivative of A) 70. (part 22, easy) 105-W7

A. x’=-y, y’=-x
B. x’=-x, y’=-y
C. x’=x, y’=y
D. x’=0, y’=1

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Which of the followings is the best description of Donald Hebb’s theory of learning? 73. (part 23, easy) 105-W7

A. Neurons that grow together wire together.
B. Neurons that wire together fire together.
C. Neurons that fire differently wire together.
D. Neurons that fire together wire together.

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What is the condition for eigenvalues and eigenvectors of a matrix M to exist? *54. (Part 17, easy) 105-W5

A. The determinant of M is non-zero. B. The matrix M has to be a diagonal matrix. C. (M-) is not invertible. D. Any matrix has eigenvalues and eigenvectors.

Which of the following requirements is correct for a network that can form memory? 67. (part 21, difficult) 105-W7

In our derivation of memory in the lecture part 21, what is the requirement of , the ratio of activated neurons for each memorized item? *68. (part 21, medium) 105-W7

Which of the following two dimensional system possesses a saddle point? (A’ denotes the time derivative of A) 70. (part 22, easy) 105-W7

Which of the followings is the best description of Donald Hebb’s theory of learning? 73. (part 23, easy) 105-W7

A. The determinant of M is non-zero.
B. The matrix M has to be a diagonal matrix.
C. (M-) is not invertible.
D. Any matrix has eigenvalues and eigenvectors.