Linear Algebra - Study Mode

[#111] The equation [left[ {x08egin{array}{*{20}{c}}
2&{ - 2} \
1&{ - 1}
end{array}}
ight]left[ {x08egin{array}{*{20}{c}}
{{{ ext{x}}_1}} \
{{{ ext{x}}_2}}
end{array}}
ight] = left[ {x08egin{array}{*{20}{c}}
0 \
0
end{array}}
ight]] xa0 xa0has
Correct Answer

(D) multiple solutions

[#112] Consider the system of simultaneous equations x + 2y + z = 6 2x + y + 2z = 6 x + y + z = 5 This system has
Correct Answer

(C) no solution

[#113] The system of equations x + y + z = 6 x + 4y + 6z = 20 x + 4y + [lambda ]z = [mu ] has NO solution for values of [lambda ] and [mu ] given by
Correct Answer

(B) [lambda = 6,,mu e 20]

[#114] The figure shows a shape ABC and its mirror image A 1 B 1 C 1 across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A 1 B 1 C 1 is
Correct Answer

(D) [left[ {x08egin{array}{*{20}{c}} 1&0 \ 0&{ - 1} end{array}} ight]]

[#115] If the entries in each column of a square matrix M add up to 1, then an eiqen value of M is
Correct Answer

(D) 1