GATE CE 2014 Set 1 — Question 12
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Engineering Mathematics → Linear Algebra → Matrix Algebra & Operations
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Question
Given the matrices and , the product is ___________
Correct answer
23 to 23
Solution
To find the value of the product , we perform the matrix multiplications step by step.The given matrices are:First, we find the transpose of matrix :
Step 1: Compute the product
Multiply the matrix by the column vector :Calculating each element of the resulting vector:- First row:
- Second row:
- Third row:
Step 2: Compute the product
Now, multiply the row vector by the column vector :The value of the product is 23.Continue learning with Success Tracker
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