Question:
Find values of a and b if A = B, where
$\mathrm{A}=\left[\begin{array}{cc}a+4 & 3 b \\ 8 & -6\end{array}\right], \quad \mathrm{B}=\left[\begin{array}{cc}2 a+2 & b^{2}+2 \\ 8 & b^{2}-5 b\end{array}\right]$
Solution:
Given, matrix A = matrix B
Then their corresponding elements are equal.
So, we have
a11 = b11; a + 4 = 2a + 2 ⇒ a = 2
a12 = b12; 3b = b2 + 2 ⇒ b2 – 3b + 2 = 0 ⇒ b = 1, 2
a22 = b22; -6 = b2 – 5b ⇒ b2 – 5b + 6 = 0 ⇒ b = 2, 3
Hence, a = 2 and b = 2 (common value)
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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