Recent questions tagged engineering-mathematics

0 votes
1 answer
152
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals$-4$$-2$$2$$4$
1 votes
2 answers
153
3 votes
4 answers
154
The rank of the matrix$\begin{bmatrix} 1 &2 &3 &4 \\ 5& 6 & 7 & 8 \\ 6 & 8 & 10 & 12 \\ 151 & 262 & 373 & 484 \end{bmatrix}$$1$$2$$3$$4$
1 votes
1 answer
155
The value of $\lambda$ for which the system of linear equations $2x-y-z=12$, $x-2y+z=-4$ and $x+y+\lambda z=4$ has no solution is$2$$-2$$3$$-3$
1 votes
1 answer
159
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by$$f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$$Then the area enclosed between the graphs of...
1 votes
2 answers
162
2 votes
3 answers
165
1 votes
2 answers
167
1 votes
2 answers
168
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is$8$$10$$12$$1...
1 votes
1 answer
171
0 votes
1 answer
172
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is$21$$22$$27$$28$
0 votes
1 answer
173
Which of the following functions is not differentiable in the domain $[-1,1]$ ?(a) $f(x) = x^2$(b) $f(x) = x-1$(c) $f(x) = 2$(d) $f(x) = Maximum (x,-x)$
4 votes
1 answer
174
The Eigen values of $A=\begin{bmatrix} a& 1& 0\\1 &a &1 \\0 &1 &a \end{bmatrix}$ are______$a,a,a$$0,a,2a$$-a,2a,2a$$a,a+\sqrt{2},a-\sqrt{2}$
1 votes
1 answer
175
0 votes
2 answers
176
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”?$0.00187220$$0.01432110$$0...
0 votes
1 answer
177
1 votes
1 answer
178
0 votes
0 answers
180