Find the value of a,b,c,d if \(\begin{bmatrix}a+b&c\\a-b&2c+d\end{bmatrix}\)=\(\begin{bmatrix}3&2\\1&6\end{bmatrix}\).(a) 3, 2, 1, 4(b) 3, 2, 1, 6(c) 2, 2, 2, 2(d) 2, 1, 2, 2The question was asked during an interview for a job.Origin of the question is Types of Matrices in section Matrices of Mathematics – Class 12

Find the value of a,b,c,d if \(\begin{bmatrix}a+b&c\\a-b&2c+d\end{bmat

1.	Find the value of a,b,c,d if \(\begin{bmatrix}a+b&c\\a-b&2c+d\end{bmatrix}\)=\(\begin{bmatrix}3&2\\1&6\end{bmatrix}\).(a) 3, 2, 1, 4(b) 3, 2, 1, 6(c) 2, 2, 2, 2(d) 2, 1, 2, 2The question was asked during an interview for a job.Origin of the question is Types of Matrices in section Matrices of Mathematics – Class 12
Answer» The correct choice is (d) 2, 1, 2, 2 To ELABORATE: The two matrices \(\BEGIN{BMATRIX}a+b&c\\a-b&2c+d\end{bmatrix}\)and\(\begin{bmatrix}3&2\\1&6\end{bmatrix}\) are equal matrices. Comparing the two matrices, we get a-b=3, c=2, a-b=1, 2c+d=6 Solving the above equations, we get a=2, b=1, c=2, d=2.

Discussion

No Comment Found

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

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment