document.write( "Question 1161522: Is it C? I want to check my answer.\r
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document.write( "Matrix C has the dimensions 7 X 2 and Matrix D has the dimensions 2 X 7. Determine the dimensions of the matrix CD, if it is possible. Explain why if it is not. \r
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document.write( "A. Matrix CD would have the dimensions 2 X 2\r
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document.write( "B. Matrix CD would have the dimensions 2 X 7\r
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document.write( "C. Matrix CD would have the dimensions 7 X 7\r
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document.write( "D. These matrices cannot be multiplied because their dimensions don't align.\r
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document.write( "The question is provided in the link here: https://i.imgur.com/Mskgwc3.png \n" );
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Algebra.Com's Answer #785111 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The post by @MathLover1 consists of two statements and a conclusion.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Of these two statements, the first one is correct, but the second contradicts to the first one and is INCORRECT.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Her conclusion is INCORRECT, too.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The correct solution to the problem is below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " I used the text by @MathLover1, by re-edited it to make it correct.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can only multiply two matrices if their dimensions are compatible , which means the number of columns \n" ); document.write( "in the first matrix is the same as the number of rows in the second matrix.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Matrix C has the dimensions 7 X 2 (two columns) and Matrix D has the dimensions 2 X 7 (two rows).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, their dimensions are compatible for multiplication in this order.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the ANSWER is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " C. Matrix CD has the dimensions 7 X 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |