Suppose are orthogonal matrices, and let be defined by . Verify that is a linear transformation, determine if is an isomorphism, and if so, find .

Name: Suppose are orthogonal matrices, and let be defined by . Verify that is a linear transformation, determine if is an isomorphism, and if so, find .
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Question

Suppose  are  orthogonal matrices, and let  be defined by  . Verify that  is a linear transformation, determine if  is an isomorphism, and if so, find  .

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The Answer of Suppose  are  orthogonal matrices, and let  be defined by  . Verify that  is a linear transformation, determine if  is an isomorphism, and if so, find  .

Suppose Are Orthogonal Matrices, and Let Be