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[X 4] =3x-2 x belongs to R Find X ?
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[X 4] =3x-2 x belongs to R Find X ?
Finding X when [X 4] = 3x-2 where x belongs to R



  • Understanding the Notation: [X 4] means a 2x2 matrix with X in the top left corner and 4 in the bottom right corner.

  • Setting up the equation: To find X, we need to solve for its values in the given equation [X 4] = 3x-2.

  • Writing the matrix equation: We can write the matrix equation as follows:










  • Finding the inverse: To solve for X, we need to isolate it on one side of the equation. To do this, we need to find the inverse of the matrix [1 -4/3; 0 1].

  • Calculating the inverse: We can calculate the inverse as follows:










  • Multiplying both sides by the inverse: Now that we have the inverse, we can multiply both sides of the equation by it to isolate X.

  • Solving for X: After multiplying both sides by the inverse, we get:









    Therefore, X = 3/4x + 1/2.



Final Answer:

X = 3/4x + 1/2
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[X 4] =3x-2 x belongs to R Find X ?
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[X 4] =3x-2 x belongs to R Find X ? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about [X 4] =3x-2 x belongs to R Find X ? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for [X 4] =3x-2 x belongs to R Find X ?.
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