NCERT Solutions for Class 12 Maths<\/a> Chapter 4 Determinants Ex 4.4 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-4-ex-4-4\/<\/p>\nNCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.4<\/h2>\n <\/p>\n
Ex 4.4 Class 12 NCERT Solutions\u00a0 Question 1.<\/strong> \nWrite the minors and cofactors of the elements of following determinants: \n(i) \\(\\begin{vmatrix} 2 & -4 \\\\ 0 & 3 \\end{vmatrix}\\) \n(ii) \\(\\begin{vmatrix} a & c \\\\ b & d \\end{vmatrix}\\) \nSolution: \n <\/p>\nExercise 4.4 Class 12 NCERT Solutions Question 2.<\/strong> \nWrite Minors and Cofactor of elements of following determinant \n(i) \\(\\left| \\begin{matrix} 1 & 0 & 0 \\\\ 0 & 1 & 0 \\\\ 0 & 0 & 1 \\end{matrix} \\right| \\) \n(ii) \\(\\left| \\begin{matrix} 1 & 0 & 4 \\\\ 3 & 5 & -1 \\\\ 0 & 1 & 2 \\end{matrix} \\right| \\) \nSolution: \n <\/p>\n <\/p>\n
4.4 Class 12 NCERT Solutions Question 3.<\/strong> \nUsing cofactors of elements of second row, evaluate \\(\\Delta =\\left| \\begin{matrix} 5 & 3 & 8 \\\\ 2 & 0 & 1 \\\\ 1 & 2 & 3 \\end{matrix} \\right| \\) \nSolution: \n <\/p>\nExercise 4.4 Class 12 Maths NCERT Solutions Question 4.<\/strong> \nUsing Cofactors of elements of third column, evaluate \\(\\Delta =\\left| \\begin{matrix} 1 & x & yz \\\\ 1 & y & zx \\\\ 1 & z & xy \\end{matrix} \\right| \\) \nSolution: \n \n= yz\u00b2 – y\u00b2z + zx\u00b2 – xz\u00b2 + xy\u00b2 – x\u00b2y \n= – xz\u00b2 – zy\u00b2 + z\u00b2y – x\u00b2y + x\u00b2z + xy\u00b2 \n= xyz – xz\u00b2- zy\u00b2 + z\u00b2y – x\u00b2y + x\u00b2z + xy\u00b2 – xyz (adding and substracting xyz) \n= xz(y – z) – zy(y – z) – x\u00b2(y – z) + xy(y – z) \n= (xz – zy) (y – z) – (x\u00b2 – xy)(y – z) \n= z(x – y)(y – z) – x(x – y)(y – z) \n= (x – y)(y – z)(z – x)<\/p>\n <\/p>\n
Exercise 4.4 Class 12 Maths Solutions Question 5.<\/strong> \nIf \\(\\Delta =\\left| \\begin{matrix} { a }_{ 11 } & { a }_{ 12 } & { a }_{ 13 } \\\\ { a }_{ 21 } & { a }_{ 22 } & { a }_{ 23 } \\\\ { a }_{ 31 } & { a }_{ 32 } & { a }_{ 33 } \\end{matrix} \\right| \\) and Aij is the cofactors of aij? then value of \u2206 is given by \n(a) a11<\/sub>A31 <\/sub>+ a12<\/sub>A32 <\/sub>+ a13<\/sub>A33<\/sub> \n(b) a1<\/sub>1<\/sub>A11 <\/sub>+ a12<\/sub>A21 <\/sub>+ a13<\/sub>A31<\/sub> \n(c) a2<\/sub>1<\/sub>A11 <\/sub>+ a22<\/sub>A12 <\/sub>+ a23<\/sub>A13<\/sub> \n(d) a1<\/sub>1<\/sub>A11 <\/sub>+ a21<\/sub>A21 <\/sub>+ a31<\/sub>A31<\/sub> \nSolution: \nOption (d) is correct.<\/p>\n","protected":false},"excerpt":{"rendered":"These NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-4-ex-4-4\/ NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.4 Ex 4.4 Class 12 NCERT Solutions\u00a0 Question 1. Write the minors and cofactors of the elements of following determinants: (i) …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[3],"tags":[],"yoast_head":"\nNCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n