Homework SourseFind the value s of K of which the given matrix is singular
Solution
9.
A matrix is singular if and only if its determinant is 0.
k^2 *k - 2k*8 = 0
=> k^3 -16k = 0
=> k(k^2 - 16) =0
=> k (k^2 - 4^2)= 0
We know a^2 - b^2 = (a+b) (a-b) use this formula we have
=> k (k+4) (k-4) = 0
=> k= -4, 0, 4
20) determinant of matrix is 0 if its is singular
1(3-2) -k(0-2) +1(0-1) =0
=> 1+2k -1 =0
=> 2k = 0
=> k= 0
![Find the value (s) of K of which the given matrix is singular. 9. [k^2 2k 8 k] 10. [1 k 1 0 1 2 1 1 3]Solution9. A matrix is singular if and only if its determ](/WebImages/42/find-the-value-s-of-k-of-which-the-given-matrix-is-singular-1130708-1761603983-0.webp "Find the value (s) of K of which the given matrix is singular. 9. [k^2 2k 8 k] 10. [1 k 1 0 1 2 1 1 3]Solution9. A matrix is singular if and only if its determ")
