https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:untitled-852/e/matrix_determinant 2025-06-25T04:37:22.958747522Z 2 x 2 कोटि के आव्यूह का सारणिक (Determinant of a 2x2 matrix) दिए गए 2x2 कोटि के आव्यूह का सारणिक ज्ञात कीजिए। Stephanie Chang exercise https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/e/matrix_determinant_3x3 2025-06-25T04:37:22.958747522Z 3 x3 कोटि के आव्यूह का सारणिक (Determinant of a 3x3 matrix) दिए गए 3x3 कोटि के आव्यूह का सारणिक ज्ञात कीजिए। Stephanie Chang exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:untitled-852/v/evaluating-determinants-of-scaled-matrices 2025-06-25T04:37:22.958747522Z स्केल किए गए अव्यूहों के सारणिकों का मान ज्ञात करना In this video, we find how scaling a matrix affects its determinant. We first double a 2x2 matrix and triple a 3x3 matrix. We then generalise the results for these matrices for a variable scalar. We finally generalise the same for any non square matrix. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw स्केल किए गए अव्यूहों के सारणिकों का मान ज्ञात करना In this video, we find how scaling a matrix affects its determinant. We first double a 2x2 matrix and triple a 3x3 matrix. We then generalise the results for these matrices for a variable scalar. We finally generalise the same for any non square matrix. https://cdn.kastatic.org/ka-youtube-converted/ulCrFPyX5Yo.mp4/ulCrFPyX5Yo.mp4 482 सारणिक (Determinants) https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:untitled-852/v/evaluating-determinants-involving-variables 2025-06-25T04:37:22.958747522Z चरों वाले सारणिकों का मान ज्ञात करना In this video, we practice evaluating determinants of matrices with variable elements. We apply algebraic identities to simplify the determinants. For the first problem, we use square of sum identity and for the second one we use cube of sum identity. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw चरों वाले सारणिकों का मान ज्ञात करना In this video, we practice evaluating determinants of matrices with variable elements. We apply algebraic identities to simplify the determinants. For the first problem, we use square of sum identity and for the second one we use cube of sum identity. https://cdn.kastatic.org/ka-youtube-converted/DpnbKn5fLVM.mp4/DpnbKn5fLVM.mp4 406 सारणिक (Determinants) https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:untitled-852/v/evaluating-determinants-involving-trigonometric-functions 2025-06-25T04:37:22.958747522Z त्रिकोणमितीय फलनों को शामिल करने वाले सारणिकों का मान ज्ञात करना In this video, we practice evaluating determinants of matrices with elements involving trigonometric functions. We apply trigonometric identities to simplify the determinants. For the first problem, we eliminate the angle from the determinant. For the second one, we eliminate both the angles from the determinant. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw त्रिकोणमितीय फलनों को शामिल करने वाले सारणिकों का मान ज्ञात करना In this video, we practice evaluating determinants of matrices with elements involving trigonometric functions. We apply trigonometric identities to simplify the determinants. For the first problem, we eliminate the angle from the determinant. For the second one, we eliminate both the angles from the determinant. https://cdn.kastatic.org/ka-youtube-converted/KY7BE7Jpi5Y.mp4/KY7BE7Jpi5Y.mp4 415 सारणिक (Determinants) https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/v/finding-area-of-a-triangle-using-determinants 2025-06-25T04:37:22.958747522Z सारणिक का उपयोग करके त्रिभुज का क्षेत्रफल ज्ञात करना In this video, we practice finding area of a triangle given the coordinates of the vertices of the triangle. We solve three problems where we apply the determinant formula to do the same. Next, we do things in reverse. We use the same formula to find missing coordinates of one of the vertices when the area of the triangle is given. The equations involve the mod sign and hence have more than one solution. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw सारणिक का उपयोग करके त्रिभुज का क्षेत्रफल ज्ञात करना In this video, we practice finding area of a triangle given the coordinates of the vertices of the triangle. We solve three problems where we apply the determinant formula to do the same. Next, we do things in reverse. We use the same formula to find missing coordinates of one of the vertices when the area of the triangle is given. The equations involve the mod sign and hence have more than one solution. https://cdn.kastatic.org/ka-youtube-converted/Spi1gM9PJf4.mp4/Spi1gM9PJf4.mp4 462 सारणिक (Determinants) https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:untitled-852/v/finding-equation-of-a-line-using-determinants 2025-06-25T04:37:22.958747522Z सारणिक का उपयोग करके रेखा का समीकरण ज्ञात करना In this video, we learn how to use the determinant formula to prove that a set of 3 points are collinear. We first understand the concept and then apply it on a practice problem. We then use the determinant formula to find equation of a line given the coordinates of two points lying on the line. We also practice a few problems on finding the equation of lines passing through given pair of points. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw सारणिक का उपयोग करके रेखा का समीकरण ज्ञात करना In this video, we learn how to use the determinant formula to prove that a set of 3 points are collinear. We first understand the concept and then apply it on a practice problem. We then use the determinant formula to find equation of a line given the coordinates of two points lying on the line. We also practice a few problems on finding the equation of lines passing through given pair of points. https://cdn.kastatic.org/ka-youtube-converted/1jwBz8YnZXc.mp4/1jwBz8YnZXc.mp4 509 सारणिक (Determinants)