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If matrix A =   and A2 + aA + b = O, then the values of a and b are:
  • a)
    a = – 6, b = 2
  • b)
    a = 6, b = – 2
  • c)
    a = 6, b = 2
  • d)
    a = – 6, b = – 2
Correct answer is 'A'. Can you explain this answer?

Ref: https://edurev.in/question/459966/If-matrix-A-and-A2-aA-b-O-then-the-values-of-a-and-b-area-a-6-b-2b-a-6-b-2c-a-6-b-2d-a-6-b-2Cor


Imagehere frst we hv to calculate A^2...then add Aa and b to it...then equal to zero...u ll get the ans..
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FAQs on Matrix.. - Class 12

1. What is the matrix in mathematics?
Answer: In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is used to represent linear equations, perform transformations, and solve systems of equations.
2. What are the types of matrices?
Answer: There are several types of matrices, including square matrices, row matrices, column matrices, diagonal matrices, identity matrices, scalar matrices, and symmetric matrices. Each type has its own properties and characteristics.
3. How do you multiply matrices?
Answer: To multiply matrices, the number of columns in the first matrix must match the number of rows in the second matrix. The product matrix is obtained by multiplying the corresponding elements of each row of the first matrix with the corresponding elements of each column of the second matrix and summing them up.
4. What is the determinant of a matrix?
Answer: The determinant of a square matrix is a scalar value that can be calculated from its elements. It represents certain properties of the matrix and is used to solve systems of linear equations, find inverses of matrices, and determine whether a matrix is invertible or singular.
5. What is the inverse of a matrix?
Answer: The inverse of a square matrix A, denoted as A^-1, is a matrix that, when multiplied by A, gives the identity matrix. It allows us to solve systems of linear equations, perform certain transformations, and find solutions to various problems involving matrices. However, not all matrices have inverses, and those that do not are called singular matrices.
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