Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Matrices

NDA 2020 · Mathematics · Matrices

Let A=[ array lll a & h & g h & b & f g & f & c array ] and B=[...

Let A=\left[ahghbfgfc\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right] andB=\left[xyz\begin{array}{l}x \\ y \\ z\end{array}\right],thenwhatis, then what isA B$ equal to?

Options

  1. A\left[ax+hy+gzyz\begin{array}{c}a x+h y+g z \\ y \\ z\end{array}\right]
  2. B\left[ax+hy+gzhx+by+fzz\begin{array}{c}a x+h y+g z \\ h x+b y+f z \\ z\end{array}\right]
  3. C\left[ax+hy+gzhx+by+fzgx+fy+cz\begin{array}{l}a x+h y+g z \\ h x+b y+f z \\ g x+f y+c z\end{array}\right]
  4. D\left[ax+hy+gzhx+by+fzgx+fy+cz\begin{array}{lll}a x+h y+g z & h x+b y+f z & g x+f y+c z\end{array}\right]

Correct answer

C. \left[ax+hy+gzhx+by+fzgx+fy+cz\begin{array}{l}a x+h y+g z \\ h x+b y+f z \\ g x+f y+c z\end{array}\right]

Step-by-step solution

A B=\left[ahghbfgfc\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right]\left[xyz\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[ax+hy+gzhx+by+fzgx+fy+cz\begin{array}{l}a x+h y+g z \\ h x+b y+f z \\ g x+f y+c z\end{array}\right]
Practice Matrices on Quantrex Academy →

More from Matrices

Consider the following statements : I. If n× n(n > 1) matrix is symmetric, then its… NDA 2026If M is a square matrix such that M^3=M , then how many values of |M| are possible ? NDA 2026If M_k= bmatrix k & k-1 k-1 & k bmatrix where k is a natural number, then what is… NDA 2026If M^ T is the transpose of a 2×2 matrix M , then which of the following is/are correct ?… NDA 2026Consider the following in respect of non-singular matrices A and B : I. (AB)^ -1 = A^ -1… NDA 2025For the following two (02) items: Let A = pmatrix θ & θ - θ & θ pmatrix . What is [adj\… NDA 2025Consider the following statements about the matrix M = pmatrix 71 & 23 & 48 57 & 28 & 29… NDA 2025If [x \ 1 \ 1] pmatrix 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 pmatrix pmatrix 1 1 x pmatrix = [45]… NDA 2025If A = pmatrix 1 & 2 & 2 2 & 1 & 2 2 & 2 & 1 pmatrix , then what is A^2 - 4A equal to? NDA 2025If A = pmatrix y & z & x z & x & y x & y & z pmatrix where x , y , z are integers, is an… NDA 2025If A = pmatrix x & y & z y & z & x z & x & y pmatrix where x , y , z are integers, is an… NDA 2025For the following two (02) items: Let A = pmatrix θ & θ - θ & θ pmatrix . What is the… NDA 2025What is the value of the determinant of the inverse of the matrix pmatrix -4 & -5 2 & 2… NDA 2025If f(θ) = pmatrix θ & θ - θ & θ pmatrix , then what is \ f(π)\ ^2 equal to? NDA 2025Let X be a matrix of order 3 × 3, Y be a matrix of order 2 × 3 and Z be a matrix of order… NDA 2024Let A and B be two square matrices of same order. If A B is a null matrix, then which one… NDA 2024 Full Matrices list Matrices JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs