Question

If 2 and 3 are the Eigen values of a singular matrix of order 3, then the third

Eigen value is

a. 6

b. 5

c. 0

d. -1

answer: zero​

Answer 1

Answer:

-99

Step-by-step explanation:

100101010101010-1010101010010101.01=-99

Answer 2

The correct answer is c. 0.

• Because a singular matrix is a square matrix that has no inverse, and one of the properties of a singular matrix is that it has at least one Eigen value of zero.
• Since 2 and 3 are already listed as Eigen values, the third Eigen value must be 0.
• A square matrix A is called singular if its determinant is zero, which means that it doesn't have an inverse.
• One of the properties of a singular matrix is that it has at least one Eigen value of zero. This is because the determinant of a matrix is equal to the product of its Eigen values, and if the determinant is zero, at least one of the Eigen values must be zero.
• In the case of a 3x3 matrix, if two Eigen values are already given as 2 and 3, the third Eigen value must be the value that, when multiplied by the other two, will equal zero.

Therefore, The third Eigen value is 0, which is the only option left and the answer is (c)

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