NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.5

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.5 is provided in this article with step by step explanation. Chapter 4 Exercise 4.5 has questions covering concepts of determinants such as how to find the inverse of a matrix using adjoint. The questions make use of many theorems to deal with the adjoint and Inverse of a Matrix.

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Class 12 Maths Chapter 4 Determinants Topics:

Inverse Laplace Transform	Determinant Formula	Applications of determinants and matrices
Properties of Determinants	Determinants and Matrices	Elementary Matrix Operations
Difference between rows and columns	Jacobian Method	Consistent and inconsistent system of equations
Consistent System of Linear Equations	Minors and Cofactors	Non-singular matrix

CBSE Class 12 Mathematics Study Guides:

Math MCQs	Math Study Notes	Math Formula
Algebra	Geometry	Probability and Statistics
Calculus	Arithmetic	NCERT Solutions for Class 12 Maths
Mensuration	Trigonometry	Difference between in Maths

CBSE CLASS XII Related Questions

1.
Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]
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2.
Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes.
The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:
3.
Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]
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4.
Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not.
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5.
For a square matrix \(A\), \[ (3A)^{-1}= \]
- \( 3A^{-1} \)
- \( 9A^{-1} \)
- \( \frac{1}{3} A^{-1} \)
- \( \frac{1}{9} A^{-1} \)
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6.
Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).
- Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true and Reason (R) is false.
- Assertion (A) is false and Reason (R) is true.
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