Inverse of Special Matrices Find the inverse of the matrix.
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College Algebra
- Verifying the Inverse of a Matrix Calculate the products AB and BA to verify that B is the inverse of A. A=[131140132]B=[834211101]arrow_forwardWhen Do Matrices Have Inverse? Find the inverse of the matrix. For what value(s) of x, if any, does the matrix have no inverse? [2xx x 2]arrow_forwardWhen Do Matrices Have Inverse? Find the inverse of the matrix. For what value(s) of x, if any, does the matrix have no inverse? [ e x e 2x e 2x e 3x]arrow_forward
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- CAPSTONE Let A and B be square matrices of order 3 such that |A|=4 and |B|=5. a Find |AB| b Find |2A|. c Are A and B singular or nonsingular ? Explain. d If A and B are nonsingular, find |A1| and |B1|. e Find |(AB)T|.arrow_forwardWhich of the following operations can we perform for a matrix A of any dimension? (i) A+A (ii) 2A (iii) AAarrow_forwardGuided Proof Prove that the inverse of a symmetric non-singular matrix is symmetric. Getting Started: To prove that the inverse of A is symmetric, you need to show that A-1T=A-1. i Let A be symmetric, nonsingular matrix. ii This means that AT=A and A-1 exists. iii Use the properties of the transpose to show that A-1T is equal to A-1.arrow_forward
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