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NCERT Class 12 Maths Chapter 3: Matrices 10 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 3 Matrices — Exercise 3.1

Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.

Question 1
For A=\(\left[\begin{matrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt{3} & 1 & -5 & 17\end{matrix}\right]\), give (i) its…
Question 2
List possible matrix orders for 24 entries, and for 13 entries.
Question 3
List possible matrix orders for 18 entries, and for 5 entries.
Question 4
Construct 2×2 matrices for (1) aᵢⱼ=(i+j)²/2; (2) aᵢⱼ=i/j; (3) aᵢⱼ=(i+2j)²/2.
Question 5
Construct 3×4 matrices for (1) aᵢⱼ=|−3i+j|/2; (2) aᵢⱼ=2i−j.
Question 6
Find x,y,z in (i) \(\left[\begin{matrix}4 & 3\\x & 5\end{matrix}\right]\) = \(\left[\begin{matrix}y & z\\1 & 5\end{matrix}\right]\)…
Question 7
Find a,b,c,d if \(\left[\begin{matrix}a - b & 2 a + c\\2 a - b & 3 c + d\end{matrix}\right]\) = \(\left[\begin{matrix}-1 & 5\\0 &…
Question 8
A matrix of order m×n is square if which condition holds?
Question 9
Which x,y make \(\left[\begin{matrix}3 x + 7 & 5\\y + 1 & 2 - 3 x\end{matrix}\right]\) and \(\left[\begin{matrix}0 & y - 2\\8 &…
Question 10
How many 3×3 matrices have every entry either 0 or 1?