Linear Algebra - Linear Algebra

57:

If R=

then top row of R-1 is

 A. [5  6  4] B. [5  -3  1] C. [2  0  1] D. [2  -1  1/2] Answer Report Discuss Option: B Explanation : Since, I R I = 1, therefore top row  [5  -3  1]   Click on Discuss to view users comments. Write your comments here:
58:

Sum of the eigen values of the matrix

is

 A. 5 B. 7 C. 9 D. 18 Answer Report Discuss Option: B Explanation : Sum of eigen values of given matrix is = summetion of element of diagonal of given matrix =1 + 5 + 1 7 Click on Discuss to view users comments. Write your comments here:
59:

For which value of x, will the matrix

become singular

 A. 4 B. 6 C. 8 D. 12 Answer Report Discuss Option: A Explanation : For singular matrix,  8 [0 - 12] - x [0 - 2x12] = 0  -96 + 24x = 0  x = 4 Click on Discuss to view users comments. Write your comments here:
 A. 1 B. 2 C. 3 D. none of these Answer Report Discuss Option: B Explanation : Since,  = 12 - 24 + 12 = 0 and Mn = 12 = 0. Hence rank is 2. Click on Discuss to view users comments. Write your comments here: