{"id":307750,"date":"2022-09-10T23:55:50","date_gmt":"2022-09-10T18:25:50","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-determinant-of-second-order-is-made-with-the-elements-0-and-1-the-number-of-determinants-with-non-negative-values-is\/"},"modified":"2022-09-10T23:55:50","modified_gmt":"2022-09-10T18:25:50","slug":"a-determinant-of-second-order-is-made-with-the-elements-0-and-1-the-number-of-determinants-with-non-negative-values-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/a-determinant-of-second--order-is-made-with-the-elements-0-a\/","title":{"rendered":"A determinant of second  order is made with the elements 0 and 1. The number of determinants with  non-negative values is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A determinant of second order is made with the elements 0 and 1. The number of determinants with non-negative values is","custom_permalink":"question\/mathematics\/a-determinant-of-second--order-is-made-with-the-elements-0-a\/"},"categories":[],"acf":{"question":"<p>    A determinant of second  order is made with the elements 0 and 1. The number of determinants with  non-negative values is  <\/p>","options":[{"option":"<p>    3  <\/p>","correct":false},{"option":"<p>    10  <\/p>","correct":false},{"option":"<p>    11  <\/p>","correct":false},{"option":"<p>    13  <\/p>","correct":true}],"solution":"<p>There are only three determinants of second order with negative value.<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced close=\"|\" open=\"|\"><mtable><mtr><mtd><mn>0<\/mn><mtext>\u2009\u2009\u2009<\/mtext><mn>1<\/mn><\/mtd><\/mtr><mtr><mtd><mn>1<\/mn><mtext>\u2009\u2009\u2009\u2009<\/mtext><mn>0<\/mn><\/mtd><\/mtr><\/mtable><\/mfenced><mo>,<\/mo><mfenced close=\"|\" open=\"|\"><mtable><mtr><mtd><mn>0<\/mn><mtext>\u2009\u2009\u2009<\/mtext><mn>1<\/mn><\/mtd><\/mtr><mtr><mtd><mn>1<\/mn><mtext>\u2009\u2009\u2009\u2009<\/mtext><mn>1<\/mn><\/mtd><\/mtr><\/mtable><\/mfenced><mo>,<\/mo><mfenced close=\"|\" open=\"|\"><mtable><mtr><mtd><mn>1<\/mn><mtext>\u2009\u2009\u2009<\/mtext><mn>1<\/mn><\/mtd><\/mtr><mtr><mtd><mn>1<\/mn><mtext>\u2009\u2009\u2009\u2009<\/mtext><mn>0<\/mn><\/mtd><\/mtr><\/mtable><\/mfenced><\/math>&nbsp; Number of possible determinants with elements 0 and 1 are&nbsp;<math><mrow><msup><mn>2<\/mn><mn>4<\/mn><\/msup><mo>=<\/mo><mn>16.<\/mn><\/mrow><\/math>&nbsp; Therefore number of determinants with non-negative values is 13.<\/p><p>&nbsp;<\/p><p>&nbsp;<\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A determinant of second order is made with the elements 0 and 1. 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