Linear Algebra - Study Mode

[#101] The number of linearly independent eigen vectors of [left[ {x08egin{array}{*{20}{c}}
2&1 \
0&2
end{array}}
ight]] xa0is
Correct Answer

(B) 1

[#102] A 3 × 3 matrix P is such that, P 3 = P. Then the eigen values of P are
Correct Answer

(D) 0, 1, -1

[#103] One of the eigen vectors of matrix is [left[ {x08egin{array}{*{20}{c}}
{ - 5}&2 \
{ - 9}&6
end{array}}
ight]] xa0is
Correct Answer

(D) [left{ {x08egin{array}{*{20}{c}} 1 \ 1 end{array}} ight}]

[#104] For the matrix [left[ {x08egin{array}{*{20}{c}}
4&2 \
2&4
end{array}}
ight]] xa0the eigen value corresponding to the eigen vector [left[ {x08egin{array}{*{20}{c}}
{101} \
{101}
end{array}}
ight]]xa0is
Correct Answer

(C) 6

[#105] The eigen values of matrix [left[ {x08egin{array}{*{20}{c}}
9&5 \
5&8
end{array}}
ight]]xa0are
Correct Answer

(B) 3.48 and 13.53