Related InterviewSolutions

• If A=\(\begin{bmatrix}i&1\\0&i\end{bmatrix}\), then the correct relation is ___________(a) A+A’=\(\begin{bmatrix}1&0\\-1&0\end{bmatrix}\)(b) A-A’=\(\begin{bmatrix}1&0\\-1&0\end{bmatrix}\)(c) A+A’=\(\begin{bmatrix}0&1\\-1&0\end{bmatrix}\)(d) A-A’=\(\begin{bmatrix}0&1\\-1&0\end{bmatrix}\)I had been asked this question in an interview for job.The doubt is from Transpose of a Matrix topic in section Matrices of Mathematics – Class 12
• Finda,b,c,d if \(\begin{bmatrix}a&b+c\\c+d&b\end{bmatrix}\)=\(\begin{bmatrix}3&2\\3&-1\end{bmatrix}\) are equal matrices.(a) 3, 0, 1, -1(b) 1,-3, 0, 3(c) 3, -1, 3, 0(d) 3, 3, -1, -1I got this question during an internship interview.I'd like to ask this question from Types of Matrices topic in portion Matrices of Mathematics – Class 12
• The inverse of the matrix A=\(\begin{bmatrix}1&2&4\\5&2&4\\3&6&2\end{bmatrix}\) is(a) \(\begin{bmatrix}\frac{-1}{4}&\frac{1}{4}&0\\ \frac{1}{40}&\frac{-1}{8}&\frac{1}{5}\\ \frac{3}{40}&1&\frac{-1}{10}\end{bmatrix}\)(b) \(\begin{bmatrix}\frac{-1}{4}&\frac{1}{4}&1\\ \frac{1}{40}&\frac{-1}{8}&\frac{1}{5}\\ \frac{3}{40}&0&\frac{-1}{10}\end{bmatrix}\)(c) \(\begin{bmatrix}\frac{-1}{4}&\frac{1}{4}&0\\ \frac{1}{40}&\frac{-1}{8}&\frac{1}{5}\\ \frac{3}{40}&0&\frac{-1}{10}\end{bmatrix}\)(d) \(\begin{bmatrix}\frac{-1}{4}&-\frac{1}{4}&0\\ \frac{1}{40}&\frac{1}{8}&\frac{-1}{5}\\ \frac{3}{40}&0&\frac{-1}{10}\end{bmatrix}\)I got this question in an online quiz.This is a very interesting question from Invertible Matrices topic in section Matrices of Mathematics – Class 12
• Which of the following is a scalar matrix?(a) A=\(\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}\)(b) A=\(\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}\)(c) A=\(\begin{bmatrix}7&0&0\\0&2&0\\0&0&5\end{bmatrix}\)(d) A=\(\begin{bmatrix}2&1&5\\8&1&2\\2&4&8\end{bmatrix}\)This question was addressed to me in unit test.My doubt is from Types of Matrices in chapter Matrices of Mathematics – Class 12
• Which of the following conditions holds true for a symmetric matrix?(a) A=-A’(b) A=A’(c) A=IA(d) A=|A|The question was posed to me in an internship interview.This intriguing question comes from Symmetric and Skew Symmetric Matrices in chapter Matrices of Mathematics – Class 12
• Find the transpose of A=\(\begin{bmatrix}1&-2\\-1&5\end{bmatrix}\).(a) A=\(\begin{bmatrix}-1&-2\\-1&-5\end{bmatrix}\)(b) A=\(\begin{bmatrix}1&2\\1&5\end{bmatrix}\)(c) A=\(\begin{bmatrix}-1&2\\-1&5\end{bmatrix}\)(d) A=\(\begin{bmatrix}1&-1\\-2&5\end{bmatrix}\)I have been asked this question during a job interview.My question comes from Transpose of a Matrix in division Matrices of Mathematics – Class 12
• Find the value of x and y if 2\(\begin{bmatrix}5&x\\y-4&6\end{bmatrix}\)+\(\begin{bmatrix}-4&1\\3&2\end{bmatrix}\)=\(\begin{bmatrix}6&3\\10&14\end{bmatrix}\)?(a) x=-1, y=9(b) x=-1, y=-9(c) x=1, y=-9(d) x=1, y=9I had been asked this question in exam.The doubt is from Operations on Matrices topic in portion Matrices of Mathematics – Class 12
• Matrix addition and matrix multiplication both are commutative.(a) True(b) FalseThe question was posed to me in quiz.This intriguing question originated from Operations on Matrices in chapter Matrices of Mathematics – Class 12
• Find the matrix M and N, if M+N = \(\begin{bmatrix}5&6\\7&8\end{bmatrix}\),M-N = \(\begin{bmatrix}4&5\\6&8\end{bmatrix}\).(a) M=1/2 \(\begin{bmatrix}9&11\\13&16\end{bmatrix}\), N=1/2 \(\begin{bmatrix}1&1\\1&0\end{bmatrix}\)(b) M=\(\begin{bmatrix}5&6\\7&8\end{bmatrix}\), N=\(\begin{bmatrix}4&5\\8&6\end{bmatrix}\)(c) M=1/2 \(\begin{bmatrix}9&2\\13&16\end{bmatrix}\), N=1/2 \(\begin{bmatrix}1&1\\2&5\end{bmatrix}\)(d) M=1/2 \(\begin{bmatrix}4&5\\1&2\end{bmatrix}\), N=1/2 \(\begin{bmatrix}1&2\\1&2\end{bmatrix}\)I have been asked this question by my school teacher while I was bunking the class.My question is from Operations on Matrices topic in portion Matrices of Mathematics – Class 12
• Which of the following is not a type of matrix?(a) Scalar matrix(b) Diagonal matrix(c) Symmetric matrix(d) Minor matrixThis question was posed to me in a national level competition.My enquiry is from Types of Matrices topic in division Matrices of Mathematics – Class 12