document.write( "Question 1192014: Let 𝐴 be a 𝑎×𝑏 matrix. If the linear transformation 𝑇(𝑥) from ℝ3 to ℝ6 is defined by 𝑇(𝑥)=𝐴𝑥, how many rows and columns does the matrix 𝐴 have?
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Algebra.Com's Answer #823902 by ikleyn(52835) $\"\"$ $\"About$

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document.write( "Then a= 6, b= 3.    ANSWER\r\n" );
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document.write( "The input vector \"x\" has 3 component; therefore, matrix \"A\" should have 3 columns to act on the three components of \"x\" :  b = 3.\r\n" );
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document.write( "The output vector T(x) has 6 component; therefore, matrix A has 6 rows to provide 6 components of the output vector T(x):  a = 6.\r\n" );
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