True or False? Circle your answer and justify your choice.
1 answer:
Answer:
a and c are true
Step-by-step explanation:
The question is about diagonalizability of a matrix.
a) Given that A is a 13x17 matrix over R
We get will be a square matrix 13x13.
Being a square matrix this is diagonalizable provided eigen values are independent.
True
b) A 3 × 3 matrix A with only one eigenvalue cannot be diagonalizable.
False. For a square matrix to be diagonalizable, the eigen values should be independent.
c) A matrix A of size n×n is diagonalizable if and only if A has n distinct eigenvalues. g
This is true, because for a square matrix with distinct eigen values we can see that it is diagonalizable.
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Answer:
Therefore the probability that the card is not brown is .
Step-by-step explanation:
Probability: Probability is the ratio of the favorable outcome to the total outcome.
Given that, a box contains 2 cards blue in color , 4 cards brown in color and 6 cards yellow in color.
Total number of cards= (2+4+6)=12
∴P(getting a brown card)
∴P(not getting a brown card)
=1 - P(getting a brown card)
Therefore the probability that the card is not brown is .