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Q. 36 – Q. 65 carry TWO marks each
One of the eigenvalues of the matrix 
is −3. The other eigenvalue is ______.
is −3. The other eigenvalue is ______.Correct answer is '-1'. Can you explain this answer?
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Q. 36 – Q. 65 carry TWO marks eachOne of the eigenvalues of the ...
Sum of eigen values= trace of matrix (sum of diagonal elements). -4=-3+x.so x=-1. Similarly, product of eigen values = determinant of matrix. (-3xX) =(4-1). X=-1.
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Q. 36 – Q. 65 carry TWO marks eachOne of the eigenvalues of the ...
Determinant of matrix = product of eigen valuesSo in this case determinant is 3.And one eigen value is -3 so other should be -1For ,-3×-1=3
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Q. 36 – Q. 65 carry TWO marks eachOne of the eigenvalues of the matrixis −3. The other eigenvalue is ______.Correct answer is '-1'. Can you explain this answer?
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