Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 12 Mathematics I 4. Determinants to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 12 Mathematics I 4. Determinants to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 4.4. Whether you are studying for board exams or mid-term exams, 12 Mathematics I Chapter 4. Determinants solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsQues.1. Write minors and cofactors of the elements of the following determinants:
(i) 
(ii) 
Ans. (i) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 = 
M21 = Minor of 
and A21 = 
M22 = Minor of 
and A22 = 
(ii) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 = 
M21 = Minor of 
and A21 = 
M22 = Minor of 
and A22 = 
(i) 
(ii) 
Ans. (i) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 =
M13 = Minor of 
and A13 = 
M21 = Minor of 
and A21 = 
M22 = Minor of 
and A22 = 
M23 = Minor of 
and A23 = 
M31 = Minor of 
and A31 = 
M32 = Minor of 
and A32 = 
M33 = Minor of 
and A31 = 
(ii) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 = 
M13 = Minor of 
and A13 = 
M21 = Minor of 
and A21 =
M22 = Minor of 
and A22 =
M23 = Minor of 
and A23 = 
M31 = Minor of 
and A31 = 
M32 = Minor of 
and A32 = 
M33 = Minor of 
and A31 = 
Ans. Elements of second row of 
are 
A21 = Cofactor of 
= 
A22 = Cofactor of 
= 
A23 = Cofactor of 
= 
= 
Ans. Elements of third column of are 
A13 = Cofactor of 
= 
A23 = Cofactor of 
= 
A33 = Cofactor of 
= 
= 
= 
= 
= 
= 
= 
= 
= 
= 
and 
is cofactor of 
then value of is given by:(A) 
(B) 
(C) 
(D) 
Ans. here, Option (D) is correct.
Exercise 4.4 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 12 Mathematics I Chapter 4. Determinants solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 12 Mathematics I highlight important formulas, key definitions, and exam-ready points from Chapter 4. Determinants. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 4.4 include complete solutions for 12 Mathematics I Chapter 4. Determinants exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 4. Determinants. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 4.4 are useful for both board exams and mid-term exams. For 12 Mathematics I, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 4.4 for 12 Mathematics I Chapter 4. Determinants are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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